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Finding the Fourth Proportional to 229,044.08, 316,090.78 and 152,440.76

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Solution

The fourth proportional to 229,044.08, 316,090.78 and 152,440.76 is: 210,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,044.08 : 316,090.78 = 152,440.76 : x
  2. Step 2: Convert to fraction form
    229,044.08/316,090.78 = 152,440.76/x
  3. Step 3: Cross multiply
    229,044.08x = 316,090.78 × 152,440.76
  4. Step 4: Simplify right side
    229,044.08x = 48,185,118,732.19
  5. Step 5: Solve for x
    x = 48,185,118,732.19/229,044.08
  6. Step 6: Final answer
    x = 210,374.87

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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.