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Finding the Fourth Proportional to 265,436.92, 398,319 and 107,666.74

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Solution

The fourth proportional to 265,436.92, 398,319 and 107,666.74 is: 161,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,436.92 : 398,319 = 107,666.74 : x
  2. Step 2: Convert to fraction form
    265,436.92/398,319 = 107,666.74/x
  3. Step 3: Cross multiply
    265,436.92x = 398,319 × 107,666.74
  4. Step 4: Simplify right side
    265,436.92x = 42,885,708,210.06
  5. Step 5: Solve for x
    x = 42,885,708,210.06/265,436.92
  6. Step 6: Final answer
    x = 161,566.48

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