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Finding the Fourth Proportional to 219,319.40, 328,541.70 and 114,197.60

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Solution

The fourth proportional to 219,319.40, 328,541.70 and 114,197.60 is: 171,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,319.40 : 328,541.70 = 114,197.60 : x
  2. Step 2: Convert to fraction form
    219,319.40/328,541.70 = 114,197.60/x
  3. Step 3: Cross multiply
    219,319.40x = 328,541.70 × 114,197.60
  4. Step 4: Simplify right side
    219,319.40x = 37,518,673,639.92
  5. Step 5: Solve for x
    x = 37,518,673,639.92/219,319.40
  6. Step 6: Final answer
    x = 171,068.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.