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Finding the Fourth Proportional to 181,052, 249,851.76 and 101,564

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Solution

The fourth proportional to 181,052, 249,851.76 and 101,564 is: 140,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,052 : 249,851.76 = 101,564 : x
  2. Step 2: Convert to fraction form
    181,052/249,851.76 = 101,564/x
  3. Step 3: Cross multiply
    181,052x = 249,851.76 × 101,564
  4. Step 4: Simplify right side
    181,052x = 25,375,944,152.64
  5. Step 5: Solve for x
    x = 25,375,944,152.64/181,052
  6. Step 6: Final answer
    x = 140,158.32

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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.