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Finding the Fourth Proportional to 224,599.80, 310,087.61 and 142,974.11

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Solution

The fourth proportional to 224,599.80, 310,087.61 and 142,974.11 is: 197,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,599.80 : 310,087.61 = 142,974.11 : x
  2. Step 2: Convert to fraction form
    224,599.80/310,087.61 = 142,974.11/x
  3. Step 3: Cross multiply
    224,599.80x = 310,087.61 × 142,974.11
  4. Step 4: Simplify right side
    224,599.80x = 44,334,500,658.28
  5. Step 5: Solve for x
    x = 44,334,500,658.28/224,599.80
  6. Step 6: Final answer
    x = 197,393.32

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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.