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Finding the Fourth Proportional to 178,125, 266,954.22 and 99,276.36

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Solution

The fourth proportional to 178,125, 266,954.22 and 99,276.36 is: 148,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,125 : 266,954.22 = 99,276.36 : x
  2. Step 2: Convert to fraction form
    178,125/266,954.22 = 99,276.36/x
  3. Step 3: Cross multiply
    178,125x = 266,954.22 × 99,276.36
  4. Step 4: Simplify right side
    178,125x = 26,502,243,248.24
  5. Step 5: Solve for x
    x = 26,502,243,248.24/178,125
  6. Step 6: Final answer
    x = 148,784.52

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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.