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Finding the Fourth Proportional to 152,054.62, 209,830.10 and 83,145.70

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Solution

The fourth proportional to 152,054.62, 209,830.10 and 83,145.70 is: 114,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,054.62 : 209,830.10 = 83,145.70 : x
  2. Step 2: Convert to fraction form
    152,054.62/209,830.10 = 83,145.70/x
  3. Step 3: Cross multiply
    152,054.62x = 209,830.10 × 83,145.70
  4. Step 4: Simplify right side
    152,054.62x = 17,446,470,545.57
  5. Step 5: Solve for x
    x = 17,446,470,545.57/152,054.62
  6. Step 6: Final answer
    x = 114,738.18

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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.