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Finding the Fourth Proportional to 157,688.32, 217,638.10 and 94,030.22

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Solution

The fourth proportional to 157,688.32, 217,638.10 and 94,030.22 is: 129,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,688.32 : 217,638.10 = 94,030.22 : x
  2. Step 2: Convert to fraction form
    157,688.32/217,638.10 = 94,030.22/x
  3. Step 3: Cross multiply
    157,688.32x = 217,638.10 × 94,030.22
  4. Step 4: Simplify right side
    157,688.32x = 20,464,558,423.38
  5. Step 5: Solve for x
    x = 20,464,558,423.38/157,688.32
  6. Step 6: Final answer
    x = 129,778.53

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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.