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Finding the Fourth Proportional to 188,009.84, 259,417.68 and 107,462.90

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Solution

The fourth proportional to 188,009.84, 259,417.68 and 107,462.90 is: 148,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,009.84 : 259,417.68 = 107,462.90 : x
  2. Step 2: Convert to fraction form
    188,009.84/259,417.68 = 107,462.90/x
  3. Step 3: Cross multiply
    188,009.84x = 259,417.68 × 107,462.90
  4. Step 4: Simplify right side
    188,009.84x = 27,877,776,204.07
  5. Step 5: Solve for x
    x = 27,877,776,204.07/188,009.84
  6. Step 6: Final answer
    x = 148,278.28

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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.