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Finding the Fourth Proportional to 194,742, 292,113 and 46,998

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Solution

The fourth proportional to 194,742, 292,113 and 46,998 is: 70,497

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,742 : 292,113 = 46,998 : x
  2. Step 2: Convert to fraction form
    194,742/292,113 = 46,998/x
  3. Step 3: Cross multiply
    194,742x = 292,113 × 46,998
  4. Step 4: Simplify right side
    194,742x = 13,728,726,774
  5. Step 5: Solve for x
    x = 13,728,726,774/194,742
  6. Step 6: Final answer
    x = 70,497

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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.