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Finding the Fourth Proportional to 342,887.70, 514,331.55 and 106,302.90

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Solution

The fourth proportional to 342,887.70, 514,331.55 and 106,302.90 is: 159,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,887.70 : 514,331.55 = 106,302.90 : x
  2. Step 2: Convert to fraction form
    342,887.70/514,331.55 = 106,302.90/x
  3. Step 3: Cross multiply
    342,887.70x = 514,331.55 × 106,302.90
  4. Step 4: Simplify right side
    342,887.70x = 54,674,935,326.50
  5. Step 5: Solve for x
    x = 54,674,935,326.50/342,887.70
  6. Step 6: Final answer
    x = 159,454.35

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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.