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Finding the Fourth Proportional to 265,400.65, 398,206.23 and 96,931.94

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Solution

The fourth proportional to 265,400.65, 398,206.23 and 96,931.94 is: 145,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,400.65 : 398,206.23 = 96,931.94 : x
  2. Step 2: Convert to fraction form
    265,400.65/398,206.23 = 96,931.94/x
  3. Step 3: Cross multiply
    265,400.65x = 398,206.23 × 96,931.94
  4. Step 4: Simplify right side
    265,400.65x = 38,598,902,279.37
  5. Step 5: Solve for x
    x = 38,598,902,279.37/265,400.65
  6. Step 6: Final answer
    x = 145,436.35

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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.