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Finding the Fourth Proportional to 134,701.25, 185,904.60 and 77,358.56

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Solution

The fourth proportional to 134,701.25, 185,904.60 and 77,358.56 is: 106,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,701.25 : 185,904.60 = 77,358.56 : x
  2. Step 2: Convert to fraction form
    134,701.25/185,904.60 = 77,358.56/x
  3. Step 3: Cross multiply
    134,701.25x = 185,904.60 × 77,358.56
  4. Step 4: Simplify right side
    134,701.25x = 14,381,312,153.38
  5. Step 5: Solve for x
    x = 14,381,312,153.38/134,701.25
  6. Step 6: Final answer
    x = 106,764.50

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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.