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Finding the Fourth Proportional to 205,666.40, 308,499.60 and 194,002.40

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Solution

The fourth proportional to 205,666.40, 308,499.60 and 194,002.40 is: 291,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,666.40 : 308,499.60 = 194,002.40 : x
  2. Step 2: Convert to fraction form
    205,666.40/308,499.60 = 194,002.40/x
  3. Step 3: Cross multiply
    205,666.40x = 308,499.60 × 194,002.40
  4. Step 4: Simplify right side
    205,666.40x = 59,849,662,799.04
  5. Step 5: Solve for x
    x = 59,849,662,799.04/205,666.40
  6. Step 6: Final answer
    x = 291,003.60

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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.