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Finding the Fourth Proportional to 102,485.34, 153,746.49 and 46,351.98

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Solution

The fourth proportional to 102,485.34, 153,746.49 and 46,351.98 is: 69,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,485.34 : 153,746.49 = 46,351.98 : x
  2. Step 2: Convert to fraction form
    102,485.34/153,746.49 = 46,351.98/x
  3. Step 3: Cross multiply
    102,485.34x = 153,746.49 × 46,351.98
  4. Step 4: Simplify right side
    102,485.34x = 7,126,454,229.55
  5. Step 5: Solve for x
    x = 7,126,454,229.55/102,485.34
  6. Step 6: Final answer
    x = 69,536.33

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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.