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Finding the Fourth Proportional to 107,714.46, 148,624.20 and 65,248.32

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Solution

The fourth proportional to 107,714.46, 148,624.20 and 65,248.32 is: 90,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,714.46 : 148,624.20 = 65,248.32 : x
  2. Step 2: Convert to fraction form
    107,714.46/148,624.20 = 65,248.32/x
  3. Step 3: Cross multiply
    107,714.46x = 148,624.20 × 65,248.32
  4. Step 4: Simplify right side
    107,714.46x = 9,697,479,361.34
  5. Step 5: Solve for x
    x = 9,697,479,361.34/107,714.46
  6. Step 6: Final answer
    x = 90,029.50

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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.