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Finding the Fourth Proportional to 137,005.60, 205,508.40 and 105,901.60

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Solution

The fourth proportional to 137,005.60, 205,508.40 and 105,901.60 is: 158,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,005.60 : 205,508.40 = 105,901.60 : x
  2. Step 2: Convert to fraction form
    137,005.60/205,508.40 = 105,901.60/x
  3. Step 3: Cross multiply
    137,005.60x = 205,508.40 × 105,901.60
  4. Step 4: Simplify right side
    137,005.60x = 21,763,668,373.44
  5. Step 5: Solve for x
    x = 21,763,668,373.44/137,005.60
  6. Step 6: Final answer
    x = 158,852.40

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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.