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Finding the Fourth Proportional to 176,754, 243,880.11 and 100,254.81

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Solution

The fourth proportional to 176,754, 243,880.11 and 100,254.81 is: 138,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,754 : 243,880.11 = 100,254.81 : x
  2. Step 2: Convert to fraction form
    176,754/243,880.11 = 100,254.81/x
  3. Step 3: Cross multiply
    176,754x = 243,880.11 × 100,254.81
  4. Step 4: Simplify right side
    176,754x = 24,450,154,090.83
  5. Step 5: Solve for x
    x = 24,450,154,090.83/176,754
  6. Step 6: Final answer
    x = 138,328.72

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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.