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Finding the Fourth Proportional to 233,856.93, 322,714.70 and 147,862.20

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Solution

The fourth proportional to 233,856.93, 322,714.70 and 147,862.20 is: 204,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,856.93 : 322,714.70 = 147,862.20 : x
  2. Step 2: Convert to fraction form
    233,856.93/322,714.70 = 147,862.20/x
  3. Step 3: Cross multiply
    233,856.93x = 322,714.70 × 147,862.20
  4. Step 4: Simplify right side
    233,856.93x = 47,717,305,514.34
  5. Step 5: Solve for x
    x = 47,717,305,514.34/233,856.93
  6. Step 6: Final answer
    x = 204,044.86

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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.