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Finding the Fourth Proportional to 109,752, 164,417.64 and 65,244

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Solution

The fourth proportional to 109,752, 164,417.64 and 65,244 is: 97,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,752 : 164,417.64 = 65,244 : x
  2. Step 2: Convert to fraction form
    109,752/164,417.64 = 65,244/x
  3. Step 3: Cross multiply
    109,752x = 164,417.64 × 65,244
  4. Step 4: Simplify right side
    109,752x = 10,727,264,504.16
  5. Step 5: Solve for x
    x = 10,727,264,504.16/109,752
  6. Step 6: Final answer
    x = 97,740.95

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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.