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Finding the Fourth Proportional to 117,117, 161,577.36 and 76,852.98

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Solution

The fourth proportional to 117,117, 161,577.36 and 76,852.98 is: 106,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,117 : 161,577.36 = 76,852.98 : x
  2. Step 2: Convert to fraction form
    117,117/161,577.36 = 76,852.98/x
  3. Step 3: Cross multiply
    117,117x = 161,577.36 × 76,852.98
  4. Step 4: Simplify right side
    117,117x = 12,417,701,616.53
  5. Step 5: Solve for x
    x = 12,417,701,616.53/117,117
  6. Step 6: Final answer
    x = 106,028.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.