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Finding the Fourth Proportional to 228,237.57, 342,437.40 and 101,866.32

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Solution

The fourth proportional to 228,237.57, 342,437.40 and 101,866.32 is: 152,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,237.57 : 342,437.40 = 101,866.32 : x
  2. Step 2: Convert to fraction form
    228,237.57/342,437.40 = 101,866.32/x
  3. Step 3: Cross multiply
    228,237.57x = 342,437.40 × 101,866.32
  4. Step 4: Simplify right side
    228,237.57x = 34,882,837,768.37
  5. Step 5: Solve for x
    x = 34,882,837,768.37/228,237.57
  6. Step 6: Final answer
    x = 152,835.65

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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.