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Finding the Fourth Proportional to 102,220.32, 141,064.03 and 56,897.32

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Solution

The fourth proportional to 102,220.32, 141,064.03 and 56,897.32 is: 78,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,220.32 : 141,064.03 = 56,897.32 : x
  2. Step 2: Convert to fraction form
    102,220.32/141,064.03 = 56,897.32/x
  3. Step 3: Cross multiply
    102,220.32x = 141,064.03 × 56,897.32
  4. Step 4: Simplify right side
    102,220.32x = 8,026,165,255.40
  5. Step 5: Solve for x
    x = 8,026,165,255.40/102,220.32
  6. Step 6: Final answer
    x = 78,518.30

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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.