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Finding the Fourth Proportional to 124,553.20, 186,829.80 and 102,683.20

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Solution

The fourth proportional to 124,553.20, 186,829.80 and 102,683.20 is: 154,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,553.20 : 186,829.80 = 102,683.20 : x
  2. Step 2: Convert to fraction form
    124,553.20/186,829.80 = 102,683.20/x
  3. Step 3: Cross multiply
    124,553.20x = 186,829.80 × 102,683.20
  4. Step 4: Simplify right side
    124,553.20x = 19,184,281,719.36
  5. Step 5: Solve for x
    x = 19,184,281,719.36/124,553.20
  6. Step 6: Final answer
    x = 154,024.80

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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.