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Finding the Fourth Proportional to 161,409.60, 242,114.40 and 141,710.40

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Solution

The fourth proportional to 161,409.60, 242,114.40 and 141,710.40 is: 212,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,409.60 : 242,114.40 = 141,710.40 : x
  2. Step 2: Convert to fraction form
    161,409.60/242,114.40 = 141,710.40/x
  3. Step 3: Cross multiply
    161,409.60x = 242,114.40 × 141,710.40
  4. Step 4: Simplify right side
    161,409.60x = 34,310,128,469.76
  5. Step 5: Solve for x
    x = 34,310,128,469.76/161,409.60
  6. Step 6: Final answer
    x = 212,565.60

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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.