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Finding the Fourth Proportional to 228,113.64, 314,790.66 and 127,531.08

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Solution

The fourth proportional to 228,113.64, 314,790.66 and 127,531.08 is: 175,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,113.64 : 314,790.66 = 127,531.08 : x
  2. Step 2: Convert to fraction form
    228,113.64/314,790.66 = 127,531.08/x
  3. Step 3: Cross multiply
    228,113.64x = 314,790.66 × 127,531.08
  4. Step 4: Simplify right side
    228,113.64x = 40,145,592,843.71
  5. Step 5: Solve for x
    x = 40,145,592,843.71/228,113.64
  6. Step 6: Final answer
    x = 175,989.44

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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.