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Finding the Fourth Proportional to 103,655.80, 155,253.30 and 89,831.80

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Solution

The fourth proportional to 103,655.80, 155,253.30 and 89,831.80 is: 134,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,655.80 : 155,253.30 = 89,831.80 : x
  2. Step 2: Convert to fraction form
    103,655.80/155,253.30 = 89,831.80/x
  3. Step 3: Cross multiply
    103,655.80x = 155,253.30 × 89,831.80
  4. Step 4: Simplify right side
    103,655.80x = 13,946,683,394.94
  5. Step 5: Solve for x
    x = 13,946,683,394.94/103,655.80
  6. Step 6: Final answer
    x = 134,548.03

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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.