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Finding the Fourth Proportional to 124,095.96, 186,251.42 and 64,973

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Solution

The fourth proportional to 124,095.96, 186,251.42 and 64,973 is: 97,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,095.96 : 186,251.42 = 64,973 : x
  2. Step 2: Convert to fraction form
    124,095.96/186,251.42 = 64,973/x
  3. Step 3: Cross multiply
    124,095.96x = 186,251.42 × 64,973
  4. Step 4: Simplify right side
    124,095.96x = 12,101,313,511.66
  5. Step 5: Solve for x
    x = 12,101,313,511.66/124,095.96
  6. Step 6: Final answer
    x = 97,515.77

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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.