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Finding the Fourth Proportional to 152,049, 209,834.10 and 84,981

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Solution

The fourth proportional to 152,049, 209,834.10 and 84,981 is: 117,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,049 : 209,834.10 = 84,981 : x
  2. Step 2: Convert to fraction form
    152,049/209,834.10 = 84,981/x
  3. Step 3: Cross multiply
    152,049x = 209,834.10 × 84,981
  4. Step 4: Simplify right side
    152,049x = 17,831,911,652.10
  5. Step 5: Solve for x
    x = 17,831,911,652.10/152,049
  6. Step 6: Final answer
    x = 117,277.40

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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.