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Finding the Fourth Proportional to 103,300, 142,554 and 56,196

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Solution

The fourth proportional to 103,300, 142,554 and 56,196 is: 77,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,300 : 142,554 = 56,196 : x
  2. Step 2: Convert to fraction form
    103,300/142,554 = 56,196/x
  3. Step 3: Cross multiply
    103,300x = 142,554 × 56,196
  4. Step 4: Simplify right side
    103,300x = 8,010,964,584
  5. Step 5: Solve for x
    x = 8,010,964,584/103,300
  6. Step 6: Final answer
    x = 77,550.48

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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.