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Finding the Fourth Proportional to 181,178.32, 270,547.40 and 147,964.28

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Solution

The fourth proportional to 181,178.32, 270,547.40 and 147,964.28 is: 220,950.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,178.32 : 270,547.40 = 147,964.28 : x
  2. Step 2: Convert to fraction form
    181,178.32/270,547.40 = 147,964.28/x
  3. Step 3: Cross multiply
    181,178.32x = 270,547.40 × 147,964.28
  4. Step 4: Simplify right side
    181,178.32x = 40,031,351,246.87
  5. Step 5: Solve for x
    x = 40,031,351,246.87/181,178.32
  6. Step 6: Final answer
    x = 220,950.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.