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Finding the Fourth Proportional to 114,897.42, 158,558.40 and 64,596.42

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Solution

The fourth proportional to 114,897.42, 158,558.40 and 64,596.42 is: 89,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,897.42 : 158,558.40 = 64,596.42 : x
  2. Step 2: Convert to fraction form
    114,897.42/158,558.40 = 64,596.42/x
  3. Step 3: Cross multiply
    114,897.42x = 158,558.40 × 64,596.42
  4. Step 4: Simplify right side
    114,897.42x = 10,242,305,000.93
  5. Step 5: Solve for x
    x = 10,242,305,000.93/114,897.42
  6. Step 6: Final answer
    x = 89,143.04

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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.