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Finding the Fourth Proportional to 164,265.42, 246,428.54 and 51,973.90

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Solution

The fourth proportional to 164,265.42, 246,428.54 and 51,973.90 is: 77,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,265.42 : 246,428.54 = 51,973.90 : x
  2. Step 2: Convert to fraction form
    164,265.42/246,428.54 = 51,973.90/x
  3. Step 3: Cross multiply
    164,265.42x = 246,428.54 × 51,973.90
  4. Step 4: Simplify right side
    164,265.42x = 12,807,852,295.11
  5. Step 5: Solve for x
    x = 12,807,852,295.11/164,265.42
  6. Step 6: Final answer
    x = 77,970.47

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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.