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Finding the Fourth Proportional to 186,529.76, 257,410.62 and 101,646.68

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Solution

The fourth proportional to 186,529.76, 257,410.62 and 101,646.68 is: 140,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,529.76 : 257,410.62 = 101,646.68 : x
  2. Step 2: Convert to fraction form
    186,529.76/257,410.62 = 101,646.68/x
  3. Step 3: Cross multiply
    186,529.76x = 257,410.62 × 101,646.68
  4. Step 4: Simplify right side
    186,529.76x = 26,164,934,919.74
  5. Step 5: Solve for x
    x = 26,164,934,919.74/186,529.76
  6. Step 6: Final answer
    x = 140,272.17

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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.