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Finding the Fourth Proportional to 144,144.43, 216,041.16 and 102,036.44

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Solution

The fourth proportional to 144,144.43, 216,041.16 and 102,036.44 is: 152,930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,144.43 : 216,041.16 = 102,036.44 : x
  2. Step 2: Convert to fraction form
    144,144.43/216,041.16 = 102,036.44/x
  3. Step 3: Cross multiply
    144,144.43x = 216,041.16 × 102,036.44
  4. Step 4: Simplify right side
    144,144.43x = 22,044,070,859.87
  5. Step 5: Solve for x
    x = 22,044,070,859.87/144,144.43
  6. Step 6: Final answer
    x = 152,930.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.