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Finding the Fourth Proportional to 202,470.60, 303,792.30 and 97,235.40

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Solution

The fourth proportional to 202,470.60, 303,792.30 and 97,235.40 is: 145,894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,470.60 : 303,792.30 = 97,235.40 : x
  2. Step 2: Convert to fraction form
    202,470.60/303,792.30 = 97,235.40/x
  3. Step 3: Cross multiply
    202,470.60x = 303,792.30 × 97,235.40
  4. Step 4: Simplify right side
    202,470.60x = 29,539,365,807.42
  5. Step 5: Solve for x
    x = 29,539,365,807.42/202,470.60
  6. Step 6: Final answer
    x = 145,894.59

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1.5x scale

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.