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Finding the Fourth Proportional to 233,098.65, 349,421.13 and 148,595.13

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Solution

The fourth proportional to 233,098.65, 349,421.13 and 148,595.13 is: 222,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,098.65 : 349,421.13 = 148,595.13 : x
  2. Step 2: Convert to fraction form
    233,098.65/349,421.13 = 148,595.13/x
  3. Step 3: Cross multiply
    233,098.65x = 349,421.13 × 148,595.13
  4. Step 4: Simplify right side
    233,098.65x = 51,922,278,237.10
  5. Step 5: Solve for x
    x = 51,922,278,237.10/233,098.65
  6. Step 6: Final answer
    x = 222,748.09

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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.