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Finding the Fourth Proportional to 256,009.14, 353,292.02 and 148,642.02

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Solution

The fourth proportional to 256,009.14, 353,292.02 and 148,642.02 is: 205,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,009.14 : 353,292.02 = 148,642.02 : x
  2. Step 2: Convert to fraction form
    256,009.14/353,292.02 = 148,642.02/x
  3. Step 3: Cross multiply
    256,009.14x = 353,292.02 × 148,642.02
  4. Step 4: Simplify right side
    256,009.14x = 52,514,039,502.68
  5. Step 5: Solve for x
    x = 52,514,039,502.68/256,009.14
  6. Step 6: Final answer
    x = 205,125.64

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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.