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Finding the Fourth Proportional to 283,151.49, 390,749.10 and 155,827.08

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Solution

The fourth proportional to 283,151.49, 390,749.10 and 155,827.08 is: 215,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,151.49 : 390,749.10 = 155,827.08 : x
  2. Step 2: Convert to fraction form
    283,151.49/390,749.10 = 155,827.08/x
  3. Step 3: Cross multiply
    283,151.49x = 390,749.10 × 155,827.08
  4. Step 4: Simplify right side
    283,151.49x = 60,889,291,265.63
  5. Step 5: Solve for x
    x = 60,889,291,265.63/283,151.49
  6. Step 6: Final answer
    x = 215,041.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.