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Finding the Fourth Proportional to 261,943.52, 361,756.54 and 180,483.60

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Solution

The fourth proportional to 261,943.52, 361,756.54 and 180,483.60 is: 249,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,943.52 : 361,756.54 = 180,483.60 : x
  2. Step 2: Convert to fraction form
    261,943.52/361,756.54 = 180,483.60/x
  3. Step 3: Cross multiply
    261,943.52x = 361,756.54 × 180,483.60
  4. Step 4: Simplify right side
    261,943.52x = 65,291,122,662.74
  5. Step 5: Solve for x
    x = 65,291,122,662.74/261,943.52
  6. Step 6: Final answer
    x = 249,256.49

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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.