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Finding the Fourth Proportional to 232,547.67, 320,695.32 and 152,044.20

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Solution

The fourth proportional to 232,547.67, 320,695.32 and 152,044.20 is: 209,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,547.67 : 320,695.32 = 152,044.20 : x
  2. Step 2: Convert to fraction form
    232,547.67/320,695.32 = 152,044.20/x
  3. Step 3: Cross multiply
    232,547.67x = 320,695.32 × 152,044.20
  4. Step 4: Simplify right side
    232,547.67x = 48,759,863,373.14
  5. Step 5: Solve for x
    x = 48,759,863,373.14/232,547.67
  6. Step 6: Final answer
    x = 209,676.85

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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.