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Finding the Fourth Proportional to 145,897.26, 218,223.81 and 89,599.02

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Solution

The fourth proportional to 145,897.26, 218,223.81 and 89,599.02 is: 134,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,897.26 : 218,223.81 = 89,599.02 : x
  2. Step 2: Convert to fraction form
    145,897.26/218,223.81 = 89,599.02/x
  3. Step 3: Cross multiply
    145,897.26x = 218,223.81 × 89,599.02
  4. Step 4: Simplify right side
    145,897.26x = 19,552,639,516.67
  5. Step 5: Solve for x
    x = 19,552,639,516.67/145,897.26
  6. Step 6: Final answer
    x = 134,016.50

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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.