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Finding the Fourth Proportional to 157,434.60, 220,875 and 157,434.60

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Solution

The fourth proportional to 157,434.60, 220,875 and 157,434.60 is: 220,875

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,434.60 : 220,875 = 157,434.60 : x
  2. Step 2: Convert to fraction form
    157,434.60/220,875 = 157,434.60/x
  3. Step 3: Cross multiply
    157,434.60x = 220,875 × 157,434.60
  4. Step 4: Simplify right side
    157,434.60x = 34,773,367,275
  5. Step 5: Solve for x
    x = 34,773,367,275/157,434.60
  6. Step 6: Final answer
    x = 220,875

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.