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Finding the Fourth Proportional to 78,210.72, 116,886.48 and 57,194.88

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Solution

The fourth proportional to 78,210.72, 116,886.48 and 57,194.88 is: 85,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210.72 : 116,886.48 = 57,194.88 : x
  2. Step 2: Convert to fraction form
    78,210.72/116,886.48 = 57,194.88/x
  3. Step 3: Cross multiply
    78,210.72x = 116,886.48 × 57,194.88
  4. Step 4: Simplify right side
    78,210.72x = 6,685,308,197.22
  5. Step 5: Solve for x
    x = 6,685,308,197.22/78,210.72
  6. Step 6: Final answer
    x = 85,478.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.