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Finding the Fourth Proportional to 114,307.42, 157,743.99 and 64,006.42

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Solution

The fourth proportional to 114,307.42, 157,743.99 and 64,006.42 is: 88,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,307.42 : 157,743.99 = 64,006.42 : x
  2. Step 2: Convert to fraction form
    114,307.42/157,743.99 = 64,006.42/x
  3. Step 3: Cross multiply
    114,307.42x = 157,743.99 × 64,006.42
  4. Step 4: Simplify right side
    114,307.42x = 10,096,628,076.42
  5. Step 5: Solve for x
    x = 10,096,628,076.42/114,307.42
  6. Step 6: Final answer
    x = 88,328.72

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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.