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Finding the Fourth Proportional to 107,952.84, 162,069.58 and 83,010.41

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Solution

The fourth proportional to 107,952.84, 162,069.58 and 83,010.41 is: 124,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,952.84 : 162,069.58 = 83,010.41 : x
  2. Step 2: Convert to fraction form
    107,952.84/162,069.58 = 83,010.41/x
  3. Step 3: Cross multiply
    107,952.84x = 162,069.58 × 83,010.41
  4. Step 4: Simplify right side
    107,952.84x = 13,453,461,681.51
  5. Step 5: Solve for x
    x = 13,453,461,681.51/107,952.84
  6. Step 6: Final answer
    x = 124,623.51

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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.