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Finding the Fourth Proportional to 158,827.60, 219,193.59 and 105,019.30

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Solution

The fourth proportional to 158,827.60, 219,193.59 and 105,019.30 is: 144,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,827.60 : 219,193.59 = 105,019.30 : x
  2. Step 2: Convert to fraction form
    158,827.60/219,193.59 = 105,019.30/x
  3. Step 3: Cross multiply
    158,827.60x = 219,193.59 × 105,019.30
  4. Step 4: Simplify right side
    158,827.60x = 23,019,557,386.29
  5. Step 5: Solve for x
    x = 23,019,557,386.29/158,827.60
  6. Step 6: Final answer
    x = 144,934.24

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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.