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Finding the Fourth Proportional to 114,458.94, 157,952.84 and 64,157.94

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Solution

The fourth proportional to 114,458.94, 157,952.84 and 64,157.94 is: 88,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,458.94 : 157,952.84 = 64,157.94 : x
  2. Step 2: Convert to fraction form
    114,458.94/157,952.84 = 64,157.94/x
  3. Step 3: Cross multiply
    114,458.94x = 157,952.84 × 64,157.94
  4. Step 4: Simplify right side
    114,458.94x = 10,133,928,510.76
  5. Step 5: Solve for x
    x = 10,133,928,510.76/114,458.94
  6. Step 6: Final answer
    x = 88,537.68

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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.