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Finding the Fourth Proportional to 228,241.56, 342,443.40 and 101,870.32

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Solution

The fourth proportional to 228,241.56, 342,443.40 and 101,870.32 is: 152,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,241.56 : 342,443.40 = 101,870.32 : x
  2. Step 2: Convert to fraction form
    228,241.56/342,443.40 = 101,870.32/x
  3. Step 3: Cross multiply
    228,241.56x = 342,443.40 × 101,870.32
  4. Step 4: Simplify right side
    228,241.56x = 34,884,818,739.89
  5. Step 5: Solve for x
    x = 34,884,818,739.89/228,241.56
  6. Step 6: Final answer
    x = 152,841.66

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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.