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Finding the Fourth Proportional to 152,041.09, 209,850.02 and 88,415.59

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Solution

The fourth proportional to 152,041.09, 209,850.02 and 88,415.59 is: 122,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,041.09 : 209,850.02 = 88,415.59 : x
  2. Step 2: Convert to fraction form
    152,041.09/209,850.02 = 88,415.59/x
  3. Step 3: Cross multiply
    152,041.09x = 209,850.02 × 88,415.59
  4. Step 4: Simplify right side
    152,041.09x = 18,554,013,329.81
  5. Step 5: Solve for x
    x = 18,554,013,329.81/152,041.09
  6. Step 6: Final answer
    x = 122,032.89

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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.