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Finding the Fourth Proportional to 514,154.57, 771,223.59 and 140,177.57

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Solution

The fourth proportional to 514,154.57, 771,223.59 and 140,177.57 is: 210,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,154.57 : 771,223.59 = 140,177.57 : x
  2. Step 2: Convert to fraction form
    514,154.57/771,223.59 = 140,177.57/x
  3. Step 3: Cross multiply
    514,154.57x = 771,223.59 × 140,177.57
  4. Step 4: Simplify right side
    514,154.57x = 108,108,244,916.76
  5. Step 5: Solve for x
    x = 108,108,244,916.76/514,154.57
  6. Step 6: Final answer
    x = 210,264.10

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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.