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Finding the Fourth Proportional to 199,211.50, 298,875.77 and 58,973.77

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Solution

The fourth proportional to 199,211.50, 298,875.77 and 58,973.77 is: 88,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,211.50 : 298,875.77 = 58,973.77 : x
  2. Step 2: Convert to fraction form
    199,211.50/298,875.77 = 58,973.77/x
  3. Step 3: Cross multiply
    199,211.50x = 298,875.77 × 58,973.77
  4. Step 4: Simplify right side
    199,211.50x = 17,625,830,918.55
  5. Step 5: Solve for x
    x = 17,625,830,918.55/199,211.50
  6. Step 6: Final answer
    x = 88,477.98

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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.