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Finding the Fourth Proportional to 233,050.60, 321,639.78 and 157,594.60

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Solution

The fourth proportional to 233,050.60, 321,639.78 and 157,594.60 is: 217,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,050.60 : 321,639.78 = 157,594.60 : x
  2. Step 2: Convert to fraction form
    233,050.60/321,639.78 = 157,594.60/x
  3. Step 3: Cross multiply
    233,050.60x = 321,639.78 × 157,594.60
  4. Step 4: Simplify right side
    233,050.60x = 50,688,692,473.19
  5. Step 5: Solve for x
    x = 50,688,692,473.19/233,050.60
  6. Step 6: Final answer
    x = 217,500.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.