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Finding the Fourth Proportional to 233,532.92, 322,283.10 and 136,746.43

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Solution

The fourth proportional to 233,532.92, 322,283.10 and 136,746.43 is: 188,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,532.92 : 322,283.10 = 136,746.43 : x
  2. Step 2: Convert to fraction form
    233,532.92/322,283.10 = 136,746.43/x
  3. Step 3: Cross multiply
    233,532.92x = 322,283.10 × 136,746.43
  4. Step 4: Simplify right side
    233,532.92x = 44,071,063,081.42
  5. Step 5: Solve for x
    x = 44,071,063,081.42/233,532.92
  6. Step 6: Final answer
    x = 188,714.56

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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.