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Finding the Fourth Proportional to 228,574.49, 342,884.25 and 78,795.06

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Solution

The fourth proportional to 228,574.49, 342,884.25 and 78,795.06 is: 118,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,574.49 : 342,884.25 = 78,795.06 : x
  2. Step 2: Convert to fraction form
    228,574.49/342,884.25 = 78,795.06/x
  3. Step 3: Cross multiply
    228,574.49x = 342,884.25 × 78,795.06
  4. Step 4: Simplify right side
    228,574.49x = 27,017,585,051.81
  5. Step 5: Solve for x
    x = 27,017,585,051.81/228,574.49
  6. Step 6: Final answer
    x = 118,200.35

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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.