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Finding the Fourth Proportional to 107,281.64, 147,945.79 and 64,254.24

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Solution

The fourth proportional to 107,281.64, 147,945.79 and 64,254.24 is: 88,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,281.64 : 147,945.79 = 64,254.24 : x
  2. Step 2: Convert to fraction form
    107,281.64/147,945.79 = 64,254.24/x
  3. Step 3: Cross multiply
    107,281.64x = 147,945.79 × 64,254.24
  4. Step 4: Simplify right side
    107,281.64x = 9,506,144,297.65
  5. Step 5: Solve for x
    x = 9,506,144,297.65/107,281.64
  6. Step 6: Final answer
    x = 88,609.24

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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.