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Finding the Fourth Proportional to 186,342.04, 257,156.64 and 101,463.76

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Solution

The fourth proportional to 186,342.04, 257,156.64 and 101,463.76 is: 140,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,342.04 : 257,156.64 = 101,463.76 : x
  2. Step 2: Convert to fraction form
    186,342.04/257,156.64 = 101,463.76/x
  3. Step 3: Cross multiply
    186,342.04x = 257,156.64 × 101,463.76
  4. Step 4: Simplify right side
    186,342.04x = 26,092,079,603.37
  5. Step 5: Solve for x
    x = 26,092,079,603.37/186,342.04
  6. Step 6: Final answer
    x = 140,022.51

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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.