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Finding the Fourth Proportional to 186,686.51, 280,029.29 and 149,070.38

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Solution

The fourth proportional to 186,686.51, 280,029.29 and 149,070.38 is: 223,605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,686.51 : 280,029.29 = 149,070.38 : x
  2. Step 2: Convert to fraction form
    186,686.51/280,029.29 = 149,070.38/x
  3. Step 3: Cross multiply
    186,686.51x = 280,029.29 × 149,070.38
  4. Step 4: Simplify right side
    186,686.51x = 41,744,070,525.93
  5. Step 5: Solve for x
    x = 41,744,070,525.93/186,686.51
  6. Step 6: Final answer
    x = 223,605.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.