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Finding the Fourth Proportional to 193,678.72, 290,510.16 and 53,433.76

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Solution

The fourth proportional to 193,678.72, 290,510.16 and 53,433.76 is: 80,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,678.72 : 290,510.16 = 53,433.76 : x
  2. Step 2: Convert to fraction form
    193,678.72/290,510.16 = 53,433.76/x
  3. Step 3: Cross multiply
    193,678.72x = 290,510.16 × 53,433.76
  4. Step 4: Simplify right side
    193,678.72x = 15,523,050,167.00
  5. Step 5: Solve for x
    x = 15,523,050,167.00/193,678.72
  6. Step 6: Final answer
    x = 80,148.45

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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.