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Finding the Fourth Proportional to 99,957.66, 137,928.24 and 64,196.07

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Solution

The fourth proportional to 99,957.66, 137,928.24 and 64,196.07 is: 88,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,957.66 : 137,928.24 = 64,196.07 : x
  2. Step 2: Convert to fraction form
    99,957.66/137,928.24 = 64,196.07/x
  3. Step 3: Cross multiply
    99,957.66x = 137,928.24 × 64,196.07
  4. Step 4: Simplify right side
    99,957.66x = 8,854,450,950.02
  5. Step 5: Solve for x
    x = 8,854,450,950.02/99,957.66
  6. Step 6: Final answer
    x = 88,582.02

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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.