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Finding the Fourth Proportional to 225,238, 310,830.68 and 124,638.16

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Solution

The fourth proportional to 225,238, 310,830.68 and 124,638.16 is: 172,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,238 : 310,830.68 = 124,638.16 : x
  2. Step 2: Convert to fraction form
    225,238/310,830.68 = 124,638.16/x
  3. Step 3: Cross multiply
    225,238x = 310,830.68 × 124,638.16
  4. Step 4: Simplify right side
    225,238x = 38,741,364,026.75
  5. Step 5: Solve for x
    x = 38,741,364,026.75/225,238
  6. Step 6: Final answer
    x = 172,001.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.