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Finding the Fourth Proportional to 284,602.35, 426,903.53 and 107,149.17

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Solution

The fourth proportional to 284,602.35, 426,903.53 and 107,149.17 is: 160,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,602.35 : 426,903.53 = 107,149.17 : x
  2. Step 2: Convert to fraction form
    284,602.35/426,903.53 = 107,149.17/x
  3. Step 3: Cross multiply
    284,602.35x = 426,903.53 × 107,149.17
  4. Step 4: Simplify right side
    284,602.35x = 45,742,358,373.82
  5. Step 5: Solve for x
    x = 45,742,358,373.82/284,602.35
  6. Step 6: Final answer
    x = 160,723.76

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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.