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Finding the Fourth Proportional to 186,348.60, 257,158.50 and 101,465.66

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Solution

The fourth proportional to 186,348.60, 257,158.50 and 101,465.66 is: 140,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,348.60 : 257,158.50 = 101,465.66 : x
  2. Step 2: Convert to fraction form
    186,348.60/257,158.50 = 101,465.66/x
  3. Step 3: Cross multiply
    186,348.60x = 257,158.50 × 101,465.66
  4. Step 4: Simplify right side
    186,348.60x = 26,092,756,927.11
  5. Step 5: Solve for x
    x = 26,092,756,927.11/186,348.60
  6. Step 6: Final answer
    x = 140,021.21

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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.