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Finding the Fourth Proportional to 219,291.40, 302,892 and 158,766.16

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Solution

The fourth proportional to 219,291.40, 302,892 and 158,766.16 is: 219,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,291.40 : 302,892 = 158,766.16 : x
  2. Step 2: Convert to fraction form
    219,291.40/302,892 = 158,766.16/x
  3. Step 3: Cross multiply
    219,291.40x = 302,892 × 158,766.16
  4. Step 4: Simplify right side
    219,291.40x = 48,088,999,734.72
  5. Step 5: Solve for x
    x = 48,088,999,734.72/219,291.40
  6. Step 6: Final answer
    x = 219,292.68

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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.