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Finding the Fourth Proportional to 178,798.24, 268,197.34 and 45,678.76

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Solution

The fourth proportional to 178,798.24, 268,197.34 and 45,678.76 is: 68,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,798.24 : 268,197.34 = 45,678.76 : x
  2. Step 2: Convert to fraction form
    178,798.24/268,197.34 = 45,678.76/x
  3. Step 3: Cross multiply
    178,798.24x = 268,197.34 × 45,678.76
  4. Step 4: Simplify right side
    178,798.24x = 12,250,921,926.50
  5. Step 5: Solve for x
    x = 12,250,921,926.50/178,798.24
  6. Step 6: Final answer
    x = 68,518.13

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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.