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Finding the Fourth Proportional to 114,776.40, 172,231.68 and 48,211.68

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Solution

The fourth proportional to 114,776.40, 172,231.68 and 48,211.68 is: 72,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,776.40 : 172,231.68 = 48,211.68 : x
  2. Step 2: Convert to fraction form
    114,776.40/172,231.68 = 48,211.68/x
  3. Step 3: Cross multiply
    114,776.40x = 172,231.68 × 48,211.68
  4. Step 4: Simplify right side
    114,776.40x = 8,303,578,642.02
  5. Step 5: Solve for x
    x = 8,303,578,642.02/114,776.40
  6. Step 6: Final answer
    x = 72,345.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.