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Finding the Fourth Proportional to 145,817.60, 218,812.80 and 96,040.40

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Solution

The fourth proportional to 145,817.60, 218,812.80 and 96,040.40 is: 144,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,817.60 : 218,812.80 = 96,040.40 : x
  2. Step 2: Convert to fraction form
    145,817.60/218,812.80 = 96,040.40/x
  3. Step 3: Cross multiply
    145,817.60x = 218,812.80 × 96,040.40
  4. Step 4: Simplify right side
    145,817.60x = 21,014,868,837.12
  5. Step 5: Solve for x
    x = 21,014,868,837.12/145,817.60
  6. Step 6: Final answer
    x = 144,117.51

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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.