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Finding the Fourth Proportional to 146,274.49, 219,389.32 and 46,421.74

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Solution

The fourth proportional to 146,274.49, 219,389.32 and 46,421.74 is: 69,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,274.49 : 219,389.32 = 46,421.74 : x
  2. Step 2: Convert to fraction form
    146,274.49/219,389.32 = 46,421.74/x
  3. Step 3: Cross multiply
    146,274.49x = 219,389.32 × 46,421.74
  4. Step 4: Simplify right side
    146,274.49x = 10,184,433,971.82
  5. Step 5: Solve for x
    x = 10,184,433,971.82/146,274.49
  6. Step 6: Final answer
    x = 69,625.50

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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.