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Finding the Fourth Proportional to 229,074.84, 316,271.70 and 147,439.62

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Solution

The fourth proportional to 229,074.84, 316,271.70 and 147,439.62 is: 203,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,074.84 : 316,271.70 = 147,439.62 : x
  2. Step 2: Convert to fraction form
    229,074.84/316,271.70 = 147,439.62/x
  3. Step 3: Cross multiply
    229,074.84x = 316,271.70 × 147,439.62
  4. Step 4: Simplify right side
    229,074.84x = 46,630,979,264.75
  5. Step 5: Solve for x
    x = 46,630,979,264.75/229,074.84
  6. Step 6: Final answer
    x = 203,562.20

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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.