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Finding the Fourth Proportional to 228,275.01, 342,459.21 and 78,495.83

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Solution

The fourth proportional to 228,275.01, 342,459.21 and 78,495.83 is: 117,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,275.01 : 342,459.21 = 78,495.83 : x
  2. Step 2: Convert to fraction form
    228,275.01/342,459.21 = 78,495.83/x
  3. Step 3: Cross multiply
    228,275.01x = 342,459.21 × 78,495.83
  4. Step 4: Simplify right side
    228,275.01x = 26,881,621,281.17
  5. Step 5: Solve for x
    x = 26,881,621,281.17/228,275.01
  6. Step 6: Final answer
    x = 117,759.81

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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.