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Finding the Fourth Proportional to 176,752, 243,877.35 and 100,252.81

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Solution

The fourth proportional to 176,752, 243,877.35 and 100,252.81 is: 138,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,752 : 243,877.35 = 100,252.81 : x
  2. Step 2: Convert to fraction form
    176,752/243,877.35 = 100,252.81/x
  3. Step 3: Cross multiply
    176,752x = 243,877.35 × 100,252.81
  4. Step 4: Simplify right side
    176,752x = 24,449,389,632.85
  5. Step 5: Solve for x
    x = 24,449,389,632.85/176,752
  6. Step 6: Final answer
    x = 138,325.96

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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.