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Finding the Fourth Proportional to 102,282.57, 153,476.40 and 45,395.45

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Solution

The fourth proportional to 102,282.57, 153,476.40 and 45,395.45 is: 68,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,282.57 : 153,476.40 = 45,395.45 : x
  2. Step 2: Convert to fraction form
    102,282.57/153,476.40 = 45,395.45/x
  3. Step 3: Cross multiply
    102,282.57x = 153,476.40 × 45,395.45
  4. Step 4: Simplify right side
    102,282.57x = 6,967,130,220.77
  5. Step 5: Solve for x
    x = 6,967,130,220.77/102,282.57
  6. Step 6: Final answer
    x = 68,116.50

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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.