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Finding the Fourth Proportional to 107,216, 160,802.08 and 40,633.20

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Solution

The fourth proportional to 107,216, 160,802.08 and 40,633.20 is: 60,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,216 : 160,802.08 = 40,633.20 : x
  2. Step 2: Convert to fraction form
    107,216/160,802.08 = 40,633.20/x
  3. Step 3: Cross multiply
    107,216x = 160,802.08 × 40,633.20
  4. Step 4: Simplify right side
    107,216x = 6,533,903,077.06
  5. Step 5: Solve for x
    x = 6,533,903,077.06/107,216
  6. Step 6: Final answer
    x = 60,941.49

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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.