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Finding the Fourth Proportional to 265,437.92, 398,320.50 and 107,667.74

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Solution

The fourth proportional to 265,437.92, 398,320.50 and 107,667.74 is: 161,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,437.92 : 398,320.50 = 107,667.74 : x
  2. Step 2: Convert to fraction form
    265,437.92/398,320.50 = 107,667.74/x
  3. Step 3: Cross multiply
    265,437.92x = 398,320.50 × 107,667.74
  4. Step 4: Simplify right side
    265,437.92x = 42,886,268,030.67
  5. Step 5: Solve for x
    x = 42,886,268,030.67/265,437.92
  6. Step 6: Final answer
    x = 161,567.98

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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.