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Finding the Fourth Proportional to 193,077.60, 289,616.40 and 146,421.60

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Solution

The fourth proportional to 193,077.60, 289,616.40 and 146,421.60 is: 219,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,077.60 : 289,616.40 = 146,421.60 : x
  2. Step 2: Convert to fraction form
    193,077.60/289,616.40 = 146,421.60/x
  3. Step 3: Cross multiply
    193,077.60x = 289,616.40 × 146,421.60
  4. Step 4: Simplify right side
    193,077.60x = 42,406,096,674.24
  5. Step 5: Solve for x
    x = 42,406,096,674.24/193,077.60
  6. Step 6: Final answer
    x = 219,632.40

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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.