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Finding the Fourth Proportional to 224,373.92, 309,537.76 and 142,658.40

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Solution

The fourth proportional to 224,373.92, 309,537.76 and 142,658.40 is: 196,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,373.92 : 309,537.76 = 142,658.40 : x
  2. Step 2: Convert to fraction form
    224,373.92/309,537.76 = 142,658.40/x
  3. Step 3: Cross multiply
    224,373.92x = 309,537.76 × 142,658.40
  4. Step 4: Simplify right side
    224,373.92x = 44,158,161,581.18
  5. Step 5: Solve for x
    x = 44,158,161,581.18/224,373.92
  6. Step 6: Final answer
    x = 196,806.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.