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Finding the Fourth Proportional to 159,292.22, 238,943.50 and 46,963.01

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Solution

The fourth proportional to 159,292.22, 238,943.50 and 46,963.01 is: 70,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,292.22 : 238,943.50 = 46,963.01 : x
  2. Step 2: Convert to fraction form
    159,292.22/238,943.50 = 46,963.01/x
  3. Step 3: Cross multiply
    159,292.22x = 238,943.50 × 46,963.01
  4. Step 4: Simplify right side
    159,292.22x = 11,221,506,459.89
  5. Step 5: Solve for x
    x = 11,221,506,459.89/159,292.22
  6. Step 6: Final answer
    x = 70,446.04

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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.