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Finding the Fourth Proportional to 114,452.16, 157,946.40 and 64,167.36

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Solution

The fourth proportional to 114,452.16, 157,946.40 and 64,167.36 is: 88,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,452.16 : 157,946.40 = 64,167.36 : x
  2. Step 2: Convert to fraction form
    114,452.16/157,946.40 = 64,167.36/x
  3. Step 3: Cross multiply
    114,452.16x = 157,946.40 × 64,167.36
  4. Step 4: Simplify right side
    114,452.16x = 10,135,003,509.50
  5. Step 5: Solve for x
    x = 10,135,003,509.50/114,452.16
  6. Step 6: Final answer
    x = 88,552.31

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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.