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Finding the Fourth Proportional to 228,032.32, 314,686.56 and 127,436.80

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Solution

The fourth proportional to 228,032.32, 314,686.56 and 127,436.80 is: 175,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,032.32 : 314,686.56 = 127,436.80 : x
  2. Step 2: Convert to fraction form
    228,032.32/314,686.56 = 127,436.80/x
  3. Step 3: Cross multiply
    228,032.32x = 314,686.56 × 127,436.80
  4. Step 4: Simplify right side
    228,032.32x = 40,102,648,209.41
  5. Step 5: Solve for x
    x = 40,102,648,209.41/228,032.32
  6. Step 6: Final answer
    x = 175,863.88

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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.