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Finding the Fourth Proportional to 82,897.76, 124,242.60 and 65,298.08

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Solution

The fourth proportional to 82,897.76, 124,242.60 and 65,298.08 is: 97,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,897.76 : 124,242.60 = 65,298.08 : x
  2. Step 2: Convert to fraction form
    82,897.76/124,242.60 = 65,298.08/x
  3. Step 3: Cross multiply
    82,897.76x = 124,242.60 × 65,298.08
  4. Step 4: Simplify right side
    82,897.76x = 8,112,803,234.21
  5. Step 5: Solve for x
    x = 8,112,803,234.21/82,897.76
  6. Step 6: Final answer
    x = 97,865.17

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Why These Related Problems?

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