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Finding the Fourth Proportional to 186,594.78, 257,498.82 and 101,710.02

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Solution

The fourth proportional to 186,594.78, 257,498.82 and 101,710.02 is: 140,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,594.78 : 257,498.82 = 101,710.02 : x
  2. Step 2: Convert to fraction form
    186,594.78/257,498.82 = 101,710.02/x
  3. Step 3: Cross multiply
    186,594.78x = 257,498.82 × 101,710.02
  4. Step 4: Simplify right side
    186,594.78x = 26,190,210,132.18
  5. Step 5: Solve for x
    x = 26,190,210,132.18/186,594.78
  6. Step 6: Final answer
    x = 140,358.75

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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.