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Finding the Fourth Proportional to 176,758.50, 243,926.77 and 97,270.50

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Solution

The fourth proportional to 176,758.50, 243,926.77 and 97,270.50 is: 134,233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,758.50 : 243,926.77 = 97,270.50 : x
  2. Step 2: Convert to fraction form
    176,758.50/243,926.77 = 97,270.50/x
  3. Step 3: Cross multiply
    176,758.50x = 243,926.77 × 97,270.50
  4. Step 4: Simplify right side
    176,758.50x = 23,726,878,881.29
  5. Step 5: Solve for x
    x = 23,726,878,881.29/176,758.50
  6. Step 6: Final answer
    x = 134,233.31

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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.