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Finding the Fourth Proportional to 262,303.32, 361,965.78 and 149,123.64

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Solution

The fourth proportional to 262,303.32, 361,965.78 and 149,123.64 is: 205,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,303.32 : 361,965.78 = 149,123.64 : x
  2. Step 2: Convert to fraction form
    262,303.32/361,965.78 = 149,123.64/x
  3. Step 3: Cross multiply
    262,303.32x = 361,965.78 × 149,123.64
  4. Step 4: Simplify right side
    262,303.32x = 53,977,654,669.04
  5. Step 5: Solve for x
    x = 53,977,654,669.04/262,303.32
  6. Step 6: Final answer
    x = 205,783.35

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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.