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Finding the Fourth Proportional to 186,542.04, 257,420.52 and 101,657.28

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Solution

The fourth proportional to 186,542.04, 257,420.52 and 101,657.28 is: 140,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,542.04 : 257,420.52 = 101,657.28 : x
  2. Step 2: Convert to fraction form
    186,542.04/257,420.52 = 101,657.28/x
  3. Step 3: Cross multiply
    186,542.04x = 257,420.52 × 101,657.28
  4. Step 4: Simplify right side
    186,542.04x = 26,168,669,879.39
  5. Step 5: Solve for x
    x = 26,168,669,879.39/186,542.04
  6. Step 6: Final answer
    x = 140,282.96

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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.