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Finding the Fourth Proportional to 114,204.52, 157,602.60 and 61,816.48

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Solution

The fourth proportional to 114,204.52, 157,602.60 and 61,816.48 is: 85,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,204.52 : 157,602.60 = 61,816.48 : x
  2. Step 2: Convert to fraction form
    114,204.52/157,602.60 = 61,816.48/x
  3. Step 3: Cross multiply
    114,204.52x = 157,602.60 × 61,816.48
  4. Step 4: Simplify right side
    114,204.52x = 9,742,438,637.21
  5. Step 5: Solve for x
    x = 9,742,438,637.21/114,204.52
  6. Step 6: Final answer
    x = 85,306.94

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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.