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Finding the Fourth Proportional to 225,222.66, 310,807.30 and 123,248.14

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Solution

The fourth proportional to 225,222.66, 310,807.30 and 123,248.14 is: 170,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,222.66 : 310,807.30 = 123,248.14 : x
  2. Step 2: Convert to fraction form
    225,222.66/310,807.30 = 123,248.14/x
  3. Step 3: Cross multiply
    225,222.66x = 310,807.30 × 123,248.14
  4. Step 4: Simplify right side
    225,222.66x = 38,306,421,623.42
  5. Step 5: Solve for x
    x = 38,306,421,623.42/225,222.66
  6. Step 6: Final answer
    x = 170,082.45

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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.