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Finding the Fourth Proportional to 137,356.51, 205,702.59 and 118,756.08

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Solution

The fourth proportional to 137,356.51, 205,702.59 and 118,756.08 is: 177,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,356.51 : 205,702.59 = 118,756.08 : x
  2. Step 2: Convert to fraction form
    137,356.51/205,702.59 = 118,756.08/x
  3. Step 3: Cross multiply
    137,356.51x = 205,702.59 × 118,756.08
  4. Step 4: Simplify right side
    137,356.51x = 24,428,433,234.25
  5. Step 5: Solve for x
    x = 24,428,433,234.25/137,356.51
  6. Step 6: Final answer
    x = 177,846.93

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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.