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Finding the Fourth Proportional to 210,753.64, 316,182.30 and 148,545.64

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Solution

The fourth proportional to 210,753.64, 316,182.30 and 148,545.64 is: 222,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,753.64 : 316,182.30 = 148,545.64 : x
  2. Step 2: Convert to fraction form
    210,753.64/316,182.30 = 148,545.64/x
  3. Step 3: Cross multiply
    210,753.64x = 316,182.30 × 148,545.64
  4. Step 4: Simplify right side
    210,753.64x = 46,967,502,110.17
  5. Step 5: Solve for x
    x = 46,967,502,110.17/210,753.64
  6. Step 6: Final answer
    x = 222,855.00

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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.