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Finding the Fourth Proportional to 144,955.60, 217,141.80 and 97,716.40

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Solution

The fourth proportional to 144,955.60, 217,141.80 and 97,716.40 is: 146,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,955.60 : 217,141.80 = 97,716.40 : x
  2. Step 2: Convert to fraction form
    144,955.60/217,141.80 = 97,716.40/x
  3. Step 3: Cross multiply
    144,955.60x = 217,141.80 × 97,716.40
  4. Step 4: Simplify right side
    144,955.60x = 21,218,314,985.52
  5. Step 5: Solve for x
    x = 21,218,314,985.52/144,955.60
  6. Step 6: Final answer
    x = 146,378.03

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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.