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Finding the Fourth Proportional to 99,465.84, 137,258.82 and 56,994.84

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Solution

The fourth proportional to 99,465.84, 137,258.82 and 56,994.84 is: 78,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,465.84 : 137,258.82 = 56,994.84 : x
  2. Step 2: Convert to fraction form
    99,465.84/137,258.82 = 56,994.84/x
  3. Step 3: Cross multiply
    99,465.84x = 137,258.82 × 56,994.84
  4. Step 4: Simplify right side
    99,465.84x = 7,823,044,484.49
  5. Step 5: Solve for x
    x = 7,823,044,484.49/99,465.84
  6. Step 6: Final answer
    x = 78,650.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.