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Finding the Fourth Proportional to 233,830.80, 322,682.13 and 131,854.64

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Solution

The fourth proportional to 233,830.80, 322,682.13 and 131,854.64 is: 181,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,830.80 : 322,682.13 = 131,854.64 : x
  2. Step 2: Convert to fraction form
    233,830.80/322,682.13 = 131,854.64/x
  3. Step 3: Cross multiply
    233,830.80x = 322,682.13 × 131,854.64
  4. Step 4: Simplify right side
    233,830.80x = 42,547,134,472.17
  5. Step 5: Solve for x
    x = 42,547,134,472.17/233,830.80
  6. Step 6: Final answer
    x = 181,956.93

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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.