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Finding the Fourth Proportional to 186,246.32, 257,019.92 and 101,363.98

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Solution

The fourth proportional to 186,246.32, 257,019.92 and 101,363.98 is: 139,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,246.32 : 257,019.92 = 101,363.98 : x
  2. Step 2: Convert to fraction form
    186,246.32/257,019.92 = 101,363.98/x
  3. Step 3: Cross multiply
    186,246.32x = 257,019.92 × 101,363.98
  4. Step 4: Simplify right side
    186,246.32x = 26,052,562,030.48
  5. Step 5: Solve for x
    x = 26,052,562,030.48/186,246.32
  6. Step 6: Final answer
    x = 139,882.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.