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Finding the Fourth Proportional to 261,283.89, 360,571.51 and 148,106.64

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Solution

The fourth proportional to 261,283.89, 360,571.51 and 148,106.64 is: 204,387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,283.89 : 360,571.51 = 148,106.64 : x
  2. Step 2: Convert to fraction form
    261,283.89/360,571.51 = 148,106.64/x
  3. Step 3: Cross multiply
    261,283.89x = 360,571.51 × 148,106.64
  4. Step 4: Simplify right side
    261,283.89x = 53,403,034,825.83
  5. Step 5: Solve for x
    x = 53,403,034,825.83/261,283.89
  6. Step 6: Final answer
    x = 204,387.02

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1.5x scale

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.