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Finding the Fourth Proportional to 147,616.20, 221,424.30 and 146,741.40

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Solution

The fourth proportional to 147,616.20, 221,424.30 and 146,741.40 is: 220,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,616.20 : 221,424.30 = 146,741.40 : x
  2. Step 2: Convert to fraction form
    147,616.20/221,424.30 = 146,741.40/x
  3. Step 3: Cross multiply
    147,616.20x = 221,424.30 × 146,741.40
  4. Step 4: Simplify right side
    147,616.20x = 32,492,111,776.02
  5. Step 5: Solve for x
    x = 32,492,111,776.02/147,616.20
  6. Step 6: Final answer
    x = 220,112.10

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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.