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Finding the Fourth Proportional to 99,904.84, 137,854.74 and 97,216.84

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Solution

The fourth proportional to 99,904.84, 137,854.74 and 97,216.84 is: 134,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,904.84 : 137,854.74 = 97,216.84 : x
  2. Step 2: Convert to fraction form
    99,904.84/137,854.74 = 97,216.84/x
  3. Step 3: Cross multiply
    99,904.84x = 137,854.74 × 97,216.84
  4. Step 4: Simplify right side
    99,904.84x = 13,401,802,201.82
  5. Step 5: Solve for x
    x = 13,401,802,201.82/99,904.84
  6. Step 6: Final answer
    x = 134,145.68

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1.5x scale

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.