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Finding the Fourth Proportional to 102,043.38, 152,810.50 and 64,490.16

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Solution

The fourth proportional to 102,043.38, 152,810.50 and 64,490.16 is: 96,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,043.38 : 152,810.50 = 64,490.16 : x
  2. Step 2: Convert to fraction form
    102,043.38/152,810.50 = 64,490.16/x
  3. Step 3: Cross multiply
    102,043.38x = 152,810.50 × 64,490.16
  4. Step 4: Simplify right side
    102,043.38x = 9,854,773,594.68
  5. Step 5: Solve for x
    x = 9,854,773,594.68/102,043.38
  6. Step 6: Final answer
    x = 96,574.35

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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.