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Finding the Fourth Proportional to 283,345.65, 425,096.08 and 83,665.87

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Solution

The fourth proportional to 283,345.65, 425,096.08 and 83,665.87 is: 125,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,345.65 : 425,096.08 = 83,665.87 : x
  2. Step 2: Convert to fraction form
    283,345.65/425,096.08 = 83,665.87/x
  3. Step 3: Cross multiply
    283,345.65x = 425,096.08 × 83,665.87
  4. Step 4: Simplify right side
    283,345.65x = 35,566,032,565.51
  5. Step 5: Solve for x
    x = 35,566,032,565.51/283,345.65
  6. Step 6: Final answer
    x = 125,521.72

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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.