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Finding the Fourth Proportional to 229,751.02, 316,724.04 and 152,096.56

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Solution

The fourth proportional to 229,751.02, 316,724.04 and 152,096.56 is: 209,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,751.02 : 316,724.04 = 152,096.56 : x
  2. Step 2: Convert to fraction form
    229,751.02/316,724.04 = 152,096.56/x
  3. Step 3: Cross multiply
    229,751.02x = 316,724.04 × 152,096.56
  4. Step 4: Simplify right side
    229,751.02x = 48,172,636,953.30
  5. Step 5: Solve for x
    x = 48,172,636,953.30/229,751.02
  6. Step 6: Final answer
    x = 209,673.22

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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.