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Finding the Fourth Proportional to 102,608.42, 141,602.01 and 64,369.58

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Solution

The fourth proportional to 102,608.42, 141,602.01 and 64,369.58 is: 88,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,608.42 : 141,602.01 = 64,369.58 : x
  2. Step 2: Convert to fraction form
    102,608.42/141,602.01 = 64,369.58/x
  3. Step 3: Cross multiply
    102,608.42x = 141,602.01 × 64,369.58
  4. Step 4: Simplify right side
    102,608.42x = 9,114,861,202.85
  5. Step 5: Solve for x
    x = 9,114,861,202.85/102,608.42
  6. Step 6: Final answer
    x = 88,831.52

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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.