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Finding the Fourth Proportional to 180,642.38, 249,300.53 and 100,077.35

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Solution

The fourth proportional to 180,642.38, 249,300.53 and 100,077.35 is: 138,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,642.38 : 249,300.53 = 100,077.35 : x
  2. Step 2: Convert to fraction form
    180,642.38/249,300.53 = 100,077.35/x
  3. Step 3: Cross multiply
    180,642.38x = 249,300.53 × 100,077.35
  4. Step 4: Simplify right side
    180,642.38x = 24,949,334,649.11
  5. Step 5: Solve for x
    x = 24,949,334,649.11/180,642.38
  6. Step 6: Final answer
    x = 138,114.52

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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.