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Finding the Fourth Proportional to 158,829.54, 219,187.26 and 87,216

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Solution

The fourth proportional to 158,829.54, 219,187.26 and 87,216 is: 120,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,829.54 : 219,187.26 = 87,216 : x
  2. Step 2: Convert to fraction form
    158,829.54/219,187.26 = 87,216/x
  3. Step 3: Cross multiply
    158,829.54x = 219,187.26 × 87,216
  4. Step 4: Simplify right side
    158,829.54x = 19,116,636,068.16
  5. Step 5: Solve for x
    x = 19,116,636,068.16/158,829.54
  6. Step 6: Final answer
    x = 120,359.45

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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.