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Finding the Fourth Proportional to 283,055.89, 390,451.26 and 181,044.13

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Solution

The fourth proportional to 283,055.89, 390,451.26 and 181,044.13 is: 249,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,055.89 : 390,451.26 = 181,044.13 : x
  2. Step 2: Convert to fraction form
    283,055.89/390,451.26 = 181,044.13/x
  3. Step 3: Cross multiply
    283,055.89x = 390,451.26 × 181,044.13
  4. Step 4: Simplify right side
    283,055.89x = 70,688,909,423.41
  5. Step 5: Solve for x
    x = 70,688,909,423.41/283,055.89
  6. Step 6: Final answer
    x = 249,734.81

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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.