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Finding the Fourth Proportional to 256,010.64, 353,294.10 and 148,643.52

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Solution

The fourth proportional to 256,010.64, 353,294.10 and 148,643.52 is: 205,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,010.64 : 353,294.10 = 148,643.52 : x
  2. Step 2: Convert to fraction form
    256,010.64/353,294.10 = 148,643.52/x
  3. Step 3: Cross multiply
    256,010.64x = 353,294.10 × 148,643.52
  4. Step 4: Simplify right side
    256,010.64x = 52,514,878,619.23
  5. Step 5: Solve for x
    x = 52,514,878,619.23/256,010.64
  6. Step 6: Final answer
    x = 205,127.72

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1.5x scale

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.