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Finding the Fourth Proportional to 102,029.40, 153,044.10 and 70,925.40

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Solution

The fourth proportional to 102,029.40, 153,044.10 and 70,925.40 is: 106,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,029.40 : 153,044.10 = 70,925.40 : x
  2. Step 2: Convert to fraction form
    102,029.40/153,044.10 = 70,925.40/x
  3. Step 3: Cross multiply
    102,029.40x = 153,044.10 × 70,925.40
  4. Step 4: Simplify right side
    102,029.40x = 10,854,714,010.14
  5. Step 5: Solve for x
    x = 10,854,714,010.14/102,029.40
  6. Step 6: Final answer
    x = 106,388.10

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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.