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Finding the Fourth Proportional to 147,052.16, 220,677.06 and 146,511.08

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Solution

The fourth proportional to 147,052.16, 220,677.06 and 146,511.08 is: 219,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,052.16 : 220,677.06 = 146,511.08 : x
  2. Step 2: Convert to fraction form
    147,052.16/220,677.06 = 146,511.08/x
  3. Step 3: Cross multiply
    147,052.16x = 220,677.06 × 146,511.08
  4. Step 4: Simplify right side
    147,052.16x = 32,331,634,391.82
  5. Step 5: Solve for x
    x = 32,331,634,391.82/147,052.16
  6. Step 6: Final answer
    x = 219,865.08

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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.