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Finding the Fourth Proportional to 265,695.57, 398,502.27 and 97,176.48

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Solution

The fourth proportional to 265,695.57, 398,502.27 and 97,176.48 is: 145,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,695.57 : 398,502.27 = 97,176.48 : x
  2. Step 2: Convert to fraction form
    265,695.57/398,502.27 = 97,176.48/x
  3. Step 3: Cross multiply
    265,695.57x = 398,502.27 × 97,176.48
  4. Step 4: Simplify right side
    265,695.57x = 38,725,047,870.61
  5. Step 5: Solve for x
    x = 38,725,047,870.61/265,695.57
  6. Step 6: Final answer
    x = 145,749.69

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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.