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Finding the Fourth Proportional to 308,742.69, 463,109.00 and 98,377.77

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Solution

The fourth proportional to 308,742.69, 463,109.00 and 98,377.77 is: 147,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,742.69 : 463,109.00 = 98,377.77 : x
  2. Step 2: Convert to fraction form
    308,742.69/463,109.00 = 98,377.77/x
  3. Step 3: Cross multiply
    308,742.69x = 463,109.00 × 98,377.77
  4. Step 4: Simplify right side
    308,742.69x = 45,559,630,195.04
  5. Step 5: Solve for x
    x = 45,559,630,195.04/308,742.69
  6. Step 6: Final answer
    x = 147,565.05

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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.