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Finding the Fourth Proportional to 114,370.24, 157,830.78 and 64,069.24

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Solution

The fourth proportional to 114,370.24, 157,830.78 and 64,069.24 is: 88,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,370.24 : 157,830.78 = 64,069.24 : x
  2. Step 2: Convert to fraction form
    114,370.24/157,830.78 = 64,069.24/x
  3. Step 3: Cross multiply
    114,370.24x = 157,830.78 × 64,069.24
  4. Step 4: Simplify right side
    114,370.24x = 10,112,098,123.21
  5. Step 5: Solve for x
    x = 10,112,098,123.21/114,370.24
  6. Step 6: Final answer
    x = 88,415.47

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1.5x scale

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.