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Finding the Fourth Proportional to 103,518.32, 142,860.34 and 58,210.56

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Solution

The fourth proportional to 103,518.32, 142,860.34 and 58,210.56 is: 80,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,518.32 : 142,860.34 = 58,210.56 : x
  2. Step 2: Convert to fraction form
    103,518.32/142,860.34 = 58,210.56/x
  3. Step 3: Cross multiply
    103,518.32x = 142,860.34 × 58,210.56
  4. Step 4: Simplify right side
    103,518.32x = 8,315,980,465.95
  5. Step 5: Solve for x
    x = 8,315,980,465.95/103,518.32
  6. Step 6: Final answer
    x = 80,333.42

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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.