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Finding the Fourth Proportional to 164,840, 247,237.86 and 46,520.84

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Solution

The fourth proportional to 164,840, 247,237.86 and 46,520.84 is: 69,775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,840 : 247,237.86 = 46,520.84 : x
  2. Step 2: Convert to fraction form
    164,840/247,237.86 = 46,520.84/x
  3. Step 3: Cross multiply
    164,840x = 247,237.86 × 46,520.84
  4. Step 4: Simplify right side
    164,840x = 11,501,712,927.00
  5. Step 5: Solve for x
    x = 11,501,712,927.00/164,840
  6. Step 6: Final answer
    x = 69,775.01

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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.