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Finding the Fourth Proportional to 299,130.86, 448,419.27 and 156,946.70

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Solution

The fourth proportional to 299,130.86, 448,419.27 and 156,946.70 is: 235,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,130.86 : 448,419.27 = 156,946.70 : x
  2. Step 2: Convert to fraction form
    299,130.86/448,419.27 = 156,946.70/x
  3. Step 3: Cross multiply
    299,130.86x = 448,419.27 × 156,946.70
  4. Step 4: Simplify right side
    299,130.86x = 70,377,924,642.91
  5. Step 5: Solve for x
    x = 70,377,924,642.91/299,130.86
  6. Step 6: Final answer
    x = 235,274.70

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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.