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Finding the Fourth Proportional to 241,715.40, 362,135.70 and 148,111.80

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Solution

The fourth proportional to 241,715.40, 362,135.70 and 148,111.80 is: 221,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,715.40 : 362,135.70 = 148,111.80 : x
  2. Step 2: Convert to fraction form
    241,715.40/362,135.70 = 148,111.80/x
  3. Step 3: Cross multiply
    241,715.40x = 362,135.70 × 148,111.80
  4. Step 4: Simplify right side
    241,715.40x = 53,636,570,371.26
  5. Step 5: Solve for x
    x = 53,636,570,371.26/241,715.40
  6. Step 6: Final answer
    x = 221,899.68

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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.