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Finding the Fourth Proportional to 117,075.41, 175,435.73 and 77,490.71

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Solution

The fourth proportional to 117,075.41, 175,435.73 and 77,490.71 is: 116,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,075.41 : 175,435.73 = 77,490.71 : x
  2. Step 2: Convert to fraction form
    117,075.41/175,435.73 = 77,490.71/x
  3. Step 3: Cross multiply
    117,075.41x = 175,435.73 × 77,490.71
  4. Step 4: Simplify right side
    117,075.41x = 13,594,638,889.61
  5. Step 5: Solve for x
    x = 13,594,638,889.61/117,075.41
  6. Step 6: Final answer
    x = 116,118.65

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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.