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Finding the Fourth Proportional to 256,045.38, 353,462.18 and 148,594.65

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Solution

The fourth proportional to 256,045.38, 353,462.18 and 148,594.65 is: 205,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,045.38 : 353,462.18 = 148,594.65 : x
  2. Step 2: Convert to fraction form
    256,045.38/353,462.18 = 148,594.65/x
  3. Step 3: Cross multiply
    256,045.38x = 353,462.18 × 148,594.65
  4. Step 4: Simplify right side
    256,045.38x = 52,522,588,182.36
  5. Step 5: Solve for x
    x = 52,522,588,182.36/256,045.38
  6. Step 6: Final answer
    x = 205,130.00

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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.