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Finding the Fourth Proportional to 180,223.95, 248,699.04 and 99,646.65

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Solution

The fourth proportional to 180,223.95, 248,699.04 and 99,646.65 is: 137,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,223.95 : 248,699.04 = 99,646.65 : x
  2. Step 2: Convert to fraction form
    180,223.95/248,699.04 = 99,646.65/x
  3. Step 3: Cross multiply
    180,223.95x = 248,699.04 × 99,646.65
  4. Step 4: Simplify right side
    180,223.95x = 24,782,026,194.22
  5. Step 5: Solve for x
    x = 24,782,026,194.22/180,223.95
  6. Step 6: Final answer
    x = 137,506.84

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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.