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Finding the Fourth Proportional to 131,242.87, 181,068.51 and 77,516.38

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Solution

The fourth proportional to 131,242.87, 181,068.51 and 77,516.38 is: 106,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,242.87 : 181,068.51 = 77,516.38 : x
  2. Step 2: Convert to fraction form
    131,242.87/181,068.51 = 77,516.38/x
  3. Step 3: Cross multiply
    131,242.87x = 181,068.51 × 77,516.38
  4. Step 4: Simplify right side
    131,242.87x = 14,035,775,427.19
  5. Step 5: Solve for x
    x = 14,035,775,427.19/131,242.87
  6. Step 6: Final answer
    x = 106,945.05

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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.