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Finding the Fourth Proportional to 104,875.98, 157,230.81 and 54,946.50

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Solution

The fourth proportional to 104,875.98, 157,230.81 and 54,946.50 is: 82,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,875.98 : 157,230.81 = 54,946.50 : x
  2. Step 2: Convert to fraction form
    104,875.98/157,230.81 = 54,946.50/x
  3. Step 3: Cross multiply
    104,875.98x = 157,230.81 × 54,946.50
  4. Step 4: Simplify right side
    104,875.98x = 8,639,282,701.67
  5. Step 5: Solve for x
    x = 8,639,282,701.67/104,875.98
  6. Step 6: Final answer
    x = 82,376.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.