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Finding the Fourth Proportional to 180,395.96, 248,948.64 and 99,830.98

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Solution

The fourth proportional to 180,395.96, 248,948.64 and 99,830.98 is: 137,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,395.96 : 248,948.64 = 99,830.98 : x
  2. Step 2: Convert to fraction form
    180,395.96/248,948.64 = 99,830.98/x
  3. Step 3: Cross multiply
    180,395.96x = 248,948.64 × 99,830.98
  4. Step 4: Simplify right side
    180,395.96x = 24,852,787,012.05
  5. Step 5: Solve for x
    x = 24,852,787,012.05/180,395.96
  6. Step 6: Final answer
    x = 137,767.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.