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Finding the Fourth Proportional to 102,220.84, 153,007.26 and 74,045.80

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Solution

The fourth proportional to 102,220.84, 153,007.26 and 74,045.80 is: 110,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,220.84 : 153,007.26 = 74,045.80 : x
  2. Step 2: Convert to fraction form
    102,220.84/153,007.26 = 74,045.80/x
  3. Step 3: Cross multiply
    102,220.84x = 153,007.26 × 74,045.80
  4. Step 4: Simplify right side
    102,220.84x = 11,329,544,972.51
  5. Step 5: Solve for x
    x = 11,329,544,972.51/102,220.84
  6. Step 6: Final answer
    x = 110,834.00

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