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Finding the Fourth Proportional to 152,012, 228,048.24 and 46,826.48

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Solution

The fourth proportional to 152,012, 228,048.24 and 46,826.48 is: 70,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,012 : 228,048.24 = 46,826.48 : x
  2. Step 2: Convert to fraction form
    152,012/228,048.24 = 46,826.48/x
  3. Step 3: Cross multiply
    152,012x = 228,048.24 × 46,826.48
  4. Step 4: Simplify right side
    152,012x = 10,678,696,349.40
  5. Step 5: Solve for x
    x = 10,678,696,349.40/152,012
  6. Step 6: Final answer
    x = 70,249.04

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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.