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Finding the Fourth Proportional to 152,124.95, 209,930.64 and 84,136.59

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Solution

The fourth proportional to 152,124.95, 209,930.64 and 84,136.59 is: 116,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,124.95 : 209,930.64 = 84,136.59 : x
  2. Step 2: Convert to fraction form
    152,124.95/209,930.64 = 84,136.59/x
  3. Step 3: Cross multiply
    152,124.95x = 209,930.64 × 84,136.59
  4. Step 4: Simplify right side
    152,124.95x = 17,662,847,870.61
  5. Step 5: Solve for x
    x = 17,662,847,870.61/152,124.95
  6. Step 6: Final answer
    x = 116,107.50

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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.