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Finding the Fourth Proportional to 157,711.50, 236,606.13 and 46,903.50

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Solution

The fourth proportional to 157,711.50, 236,606.13 and 46,903.50 is: 70,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,711.50 : 236,606.13 = 46,903.50 : x
  2. Step 2: Convert to fraction form
    157,711.50/236,606.13 = 46,903.50/x
  3. Step 3: Cross multiply
    157,711.50x = 236,606.13 × 46,903.50
  4. Step 4: Simplify right side
    157,711.50x = 11,097,655,618.46
  5. Step 5: Solve for x
    x = 11,097,655,618.46/157,711.50
  6. Step 6: Final answer
    x = 70,366.81

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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.