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Finding the Fourth Proportional to 105,214.48, 157,870.92 and 60,878.53

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Solution

The fourth proportional to 105,214.48, 157,870.92 and 60,878.53 is: 91,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,214.48 : 157,870.92 = 60,878.53 : x
  2. Step 2: Convert to fraction form
    105,214.48/157,870.92 = 60,878.53/x
  3. Step 3: Cross multiply
    105,214.48x = 157,870.92 × 60,878.53
  4. Step 4: Simplify right side
    105,214.48x = 9,610,949,539.35
  5. Step 5: Solve for x
    x = 9,610,949,539.35/105,214.48
  6. Step 6: Final answer
    x = 91,346.26

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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.