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Finding the Fourth Proportional to 261,461.93, 360,810.46 and 148,282.25

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Solution

The fourth proportional to 261,461.93, 360,810.46 and 148,282.25 is: 204,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,461.93 : 360,810.46 = 148,282.25 : x
  2. Step 2: Convert to fraction form
    261,461.93/360,810.46 = 148,282.25/x
  3. Step 3: Cross multiply
    261,461.93x = 360,810.46 × 148,282.25
  4. Step 4: Simplify right side
    261,461.93x = 53,501,786,832.34
  5. Step 5: Solve for x
    x = 53,501,786,832.34/261,461.93
  6. Step 6: Final answer
    x = 204,625.53

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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.