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Finding the Fourth Proportional to 157,486.15, 236,062.11 and 77,411.19

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Solution

The fourth proportional to 157,486.15, 236,062.11 and 77,411.19 is: 116,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,486.15 : 236,062.11 = 77,411.19 : x
  2. Step 2: Convert to fraction form
    157,486.15/236,062.11 = 77,411.19/x
  3. Step 3: Cross multiply
    157,486.15x = 236,062.11 × 77,411.19
  4. Step 4: Simplify right side
    157,486.15x = 18,273,848,849.01
  5. Step 5: Solve for x
    x = 18,273,848,849.01/157,486.15
  6. Step 6: Final answer
    x = 116,034.64

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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.