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Finding the Fourth Proportional to 265,688.88, 398,446.65 and 88,148.22

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Solution

The fourth proportional to 265,688.88, 398,446.65 and 88,148.22 is: 132,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,688.88 : 398,446.65 = 88,148.22 : x
  2. Step 2: Convert to fraction form
    265,688.88/398,446.65 = 88,148.22/x
  3. Step 3: Cross multiply
    265,688.88x = 398,446.65 × 88,148.22
  4. Step 4: Simplify right side
    265,688.88x = 35,122,362,962.46
  5. Step 5: Solve for x
    x = 35,122,362,962.46/265,688.88
  6. Step 6: Final answer
    x = 132,193.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.