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Finding the Fourth Proportional to 191,088, 286,620.48 and 57,968.64

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Solution

The fourth proportional to 191,088, 286,620.48 and 57,968.64 is: 86,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,088 : 286,620.48 = 57,968.64 : x
  2. Step 2: Convert to fraction form
    191,088/286,620.48 = 57,968.64/x
  3. Step 3: Cross multiply
    191,088x = 286,620.48 × 57,968.64
  4. Step 4: Simplify right side
    191,088x = 16,614,999,421.75
  5. Step 5: Solve for x
    x = 16,614,999,421.75/191,088
  6. Step 6: Final answer
    x = 86,949.47

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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.