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Finding the Fourth Proportional to 176,577, 243,622.40 and 100,083.84

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Solution

The fourth proportional to 176,577, 243,622.40 and 100,083.84 is: 138,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,577 : 243,622.40 = 100,083.84 : x
  2. Step 2: Convert to fraction form
    176,577/243,622.40 = 100,083.84/x
  3. Step 3: Cross multiply
    176,577x = 243,622.40 × 100,083.84
  4. Step 4: Simplify right side
    176,577x = 24,382,664,801.60
  5. Step 5: Solve for x
    x = 24,382,664,801.60/176,577
  6. Step 6: Final answer
    x = 138,085.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.