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Finding the Fourth Proportional to 130,451.84, 180,024.24 and 73,874.24

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Solution

The fourth proportional to 130,451.84, 180,024.24 and 73,874.24 is: 101,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,451.84 : 180,024.24 = 73,874.24 : x
  2. Step 2: Convert to fraction form
    130,451.84/180,024.24 = 73,874.24/x
  3. Step 3: Cross multiply
    130,451.84x = 180,024.24 × 73,874.24
  4. Step 4: Simplify right side
    130,451.84x = 13,299,153,911.58
  5. Step 5: Solve for x
    x = 13,299,153,911.58/130,451.84
  6. Step 6: Final answer
    x = 101,946.85

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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.