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Finding the Fourth Proportional to 103,341.70, 155,012.55 and 102,564.10

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Solution

The fourth proportional to 103,341.70, 155,012.55 and 102,564.10 is: 153,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,341.70 : 155,012.55 = 102,564.10 : x
  2. Step 2: Convert to fraction form
    103,341.70/155,012.55 = 102,564.10/x
  3. Step 3: Cross multiply
    103,341.70x = 155,012.55 × 102,564.10
  4. Step 4: Simplify right side
    103,341.70x = 15,898,722,679.46
  5. Step 5: Solve for x
    x = 15,898,722,679.46/103,341.70
  6. Step 6: Final answer
    x = 153,846.15

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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.