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Finding the Fourth Proportional to 145,838.60, 218,412.30 and 89,851.40

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Solution

The fourth proportional to 145,838.60, 218,412.30 and 89,851.40 is: 134,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,838.60 : 218,412.30 = 89,851.40 : x
  2. Step 2: Convert to fraction form
    145,838.60/218,412.30 = 89,851.40/x
  3. Step 3: Cross multiply
    145,838.60x = 218,412.30 × 89,851.40
  4. Step 4: Simplify right side
    145,838.60x = 19,624,650,932.22
  5. Step 5: Solve for x
    x = 19,624,650,932.22/145,838.60
  6. Step 6: Final answer
    x = 134,564.18

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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.