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Finding the Fourth Proportional to 109,607.99, 164,378.57 and 56,988.77

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Solution

The fourth proportional to 109,607.99, 164,378.57 and 56,988.77 is: 85,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,607.99 : 164,378.57 = 56,988.77 : x
  2. Step 2: Convert to fraction form
    109,607.99/164,378.57 = 56,988.77/x
  3. Step 3: Cross multiply
    109,607.99x = 164,378.57 × 56,988.77
  4. Step 4: Simplify right side
    109,607.99x = 9,367,731,411.82
  5. Step 5: Solve for x
    x = 9,367,731,411.82/109,607.99
  6. Step 6: Final answer
    x = 85,465.78

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1.5x scale

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.