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Finding the Fourth Proportional to 177,875.91, 245,474.82 and 101,406.32

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Solution

The fourth proportional to 177,875.91, 245,474.82 and 101,406.32 is: 139,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,875.91 : 245,474.82 = 101,406.32 : x
  2. Step 2: Convert to fraction form
    177,875.91/245,474.82 = 101,406.32/x
  3. Step 3: Cross multiply
    177,875.91x = 245,474.82 × 101,406.32
  4. Step 4: Simplify right side
    177,875.91x = 24,892,696,921.49
  5. Step 5: Solve for x
    x = 24,892,696,921.49/177,875.91
  6. Step 6: Final answer
    x = 139,944.17

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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.