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Finding the Fourth Proportional to 233,122.60, 349,856.70 and 154,210.60

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Solution

The fourth proportional to 233,122.60, 349,856.70 and 154,210.60 is: 231,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,122.60 : 349,856.70 = 154,210.60 : x
  2. Step 2: Convert to fraction form
    233,122.60/349,856.70 = 154,210.60/x
  3. Step 3: Cross multiply
    233,122.60x = 349,856.70 × 154,210.60
  4. Step 4: Simplify right side
    233,122.60x = 53,951,611,621.02
  5. Step 5: Solve for x
    x = 53,951,611,621.02/233,122.60
  6. Step 6: Final answer
    x = 231,430.21

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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.