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Finding the Fourth Proportional to 117,759.94, 176,698.34 and 46,681.08

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Solution

The fourth proportional to 117,759.94, 176,698.34 and 46,681.08 is: 70,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,759.94 : 176,698.34 = 46,681.08 : x
  2. Step 2: Convert to fraction form
    117,759.94/176,698.34 = 46,681.08/x
  3. Step 3: Cross multiply
    117,759.94x = 176,698.34 × 46,681.08
  4. Step 4: Simplify right side
    117,759.94x = 8,248,468,887.02
  5. Step 5: Solve for x
    x = 8,248,468,887.02/117,759.94
  6. Step 6: Final answer
    x = 70,044.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.