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Finding the Fourth Proportional to 262,333.16, 361,986.90 and 147,597.68

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Solution

The fourth proportional to 262,333.16, 361,986.90 and 147,597.68 is: 203,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,333.16 : 361,986.90 = 147,597.68 : x
  2. Step 2: Convert to fraction form
    262,333.16/361,986.90 = 147,597.68/x
  3. Step 3: Cross multiply
    262,333.16x = 361,986.90 × 147,597.68
  4. Step 4: Simplify right side
    262,333.16x = 53,428,426,630.39
  5. Step 5: Solve for x
    x = 53,428,426,630.39/262,333.16
  6. Step 6: Final answer
    x = 203,666.31

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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.