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Finding the Fourth Proportional to 157,454, 217,291.76 and 93,783.14

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Solution

The fourth proportional to 157,454, 217,291.76 and 93,783.14 is: 129,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,454 : 217,291.76 = 93,783.14 : x
  2. Step 2: Convert to fraction form
    157,454/217,291.76 = 93,783.14/x
  3. Step 3: Cross multiply
    157,454x = 217,291.76 × 93,783.14
  4. Step 4: Simplify right side
    157,454x = 20,378,303,548.93
  5. Step 5: Solve for x
    x = 20,378,303,548.93/157,454
  6. Step 6: Final answer
    x = 129,423.85

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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.