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Finding the Fourth Proportional to 178,230, 245,957.40 and 106,613.04

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Solution

The fourth proportional to 178,230, 245,957.40 and 106,613.04 is: 147,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,230 : 245,957.40 = 106,613.04 : x
  2. Step 2: Convert to fraction form
    178,230/245,957.40 = 106,613.04/x
  3. Step 3: Cross multiply
    178,230x = 245,957.40 × 106,613.04
  4. Step 4: Simplify right side
    178,230x = 26,222,266,124.50
  5. Step 5: Solve for x
    x = 26,222,266,124.50/178,230
  6. Step 6: Final answer
    x = 147,126.00

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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.