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Finding the Fourth Proportional to 131,830.65, 181,926.77 and 71,401.14

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Solution

The fourth proportional to 131,830.65, 181,926.77 and 71,401.14 is: 98,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,830.65 : 181,926.77 = 71,401.14 : x
  2. Step 2: Convert to fraction form
    131,830.65/181,926.77 = 71,401.14/x
  3. Step 3: Cross multiply
    131,830.65x = 181,926.77 × 71,401.14
  4. Step 4: Simplify right side
    131,830.65x = 12,989,778,417.51
  5. Step 5: Solve for x
    x = 12,989,778,417.51/131,830.65
  6. Step 6: Final answer
    x = 98,533.83

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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.