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Finding the Fourth Proportional to 130,472.16, 180,051.57 and 73,894.47

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Solution

The fourth proportional to 130,472.16, 180,051.57 and 73,894.47 is: 101,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,472.16 : 180,051.57 = 73,894.47 : x
  2. Step 2: Convert to fraction form
    130,472.16/180,051.57 = 73,894.47/x
  3. Step 3: Cross multiply
    130,472.16x = 180,051.57 × 73,894.47
  4. Step 4: Simplify right side
    130,472.16x = 13,304,815,337.82
  5. Step 5: Solve for x
    x = 13,304,815,337.82/130,472.16
  6. Step 6: Final answer
    x = 101,974.36

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1.5x scale

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.