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Finding the Fourth Proportional to 144,731.60, 217,097.40 and 97,492.40

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Solution

The fourth proportional to 144,731.60, 217,097.40 and 97,492.40 is: 146,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,731.60 : 217,097.40 = 97,492.40 : x
  2. Step 2: Convert to fraction form
    144,731.60/217,097.40 = 97,492.40/x
  3. Step 3: Cross multiply
    144,731.60x = 217,097.40 × 97,492.40
  4. Step 4: Simplify right side
    144,731.60x = 21,165,346,559.76
  5. Step 5: Solve for x
    x = 21,165,346,559.76/144,731.60
  6. Step 6: Final answer
    x = 146,238.60

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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.