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Finding the Fourth Proportional to 180,575.71, 249,193.98 and 104,094.38

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Solution

The fourth proportional to 180,575.71, 249,193.98 and 104,094.38 is: 143,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,575.71 : 249,193.98 = 104,094.38 : x
  2. Step 2: Convert to fraction form
    180,575.71/249,193.98 = 104,094.38/x
  3. Step 3: Cross multiply
    180,575.71x = 249,193.98 × 104,094.38
  4. Step 4: Simplify right side
    180,575.71x = 25,939,693,470.82
  5. Step 5: Solve for x
    x = 25,939,693,470.82/180,575.71
  6. Step 6: Final answer
    x = 143,649.96

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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.