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Finding the Fourth Proportional to 213,158.69, 294,187.04 and 148,586.15

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Solution

The fourth proportional to 213,158.69, 294,187.04 and 148,586.15 is: 205,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,158.69 : 294,187.04 = 148,586.15 : x
  2. Step 2: Convert to fraction form
    213,158.69/294,187.04 = 148,586.15/x
  3. Step 3: Cross multiply
    213,158.69x = 294,187.04 × 148,586.15
  4. Step 4: Simplify right side
    213,158.69x = 43,712,118,548.43
  5. Step 5: Solve for x
    x = 43,712,118,548.43/213,158.69
  6. Step 6: Final answer
    x = 205,068.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.