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Finding the Fourth Proportional to 225,243.67, 310,701.12 and 148,762.92

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Solution

The fourth proportional to 225,243.67, 310,701.12 and 148,762.92 is: 205,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,243.67 : 310,701.12 = 148,762.92 : x
  2. Step 2: Convert to fraction form
    225,243.67/310,701.12 = 148,762.92/x
  3. Step 3: Cross multiply
    225,243.67x = 310,701.12 × 148,762.92
  4. Step 4: Simplify right side
    225,243.67x = 46,220,805,858.47
  5. Step 5: Solve for x
    x = 46,220,805,858.47/225,243.67
  6. Step 6: Final answer
    x = 205,203.57

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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.