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Finding the Fourth Proportional to 164,539.70, 246,758.47 and 59,345

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Solution

The fourth proportional to 164,539.70, 246,758.47 and 59,345 is: 88,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,539.70 : 246,758.47 = 59,345 : x
  2. Step 2: Convert to fraction form
    164,539.70/246,758.47 = 59,345/x
  3. Step 3: Cross multiply
    164,539.70x = 246,758.47 × 59,345
  4. Step 4: Simplify right side
    164,539.70x = 14,643,881,402.15
  5. Step 5: Solve for x
    x = 14,643,881,402.15/164,539.70
  6. Step 6: Final answer
    x = 88,999.08

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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.