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Finding the Fourth Proportional to 106,802.36, 147,253.29 and 68,494.32

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Solution

The fourth proportional to 106,802.36, 147,253.29 and 68,494.32 is: 94,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,802.36 : 147,253.29 = 68,494.32 : x
  2. Step 2: Convert to fraction form
    106,802.36/147,253.29 = 68,494.32/x
  3. Step 3: Cross multiply
    106,802.36x = 147,253.29 × 68,494.32
  4. Step 4: Simplify right side
    106,802.36x = 10,086,013,709.46
  5. Step 5: Solve for x
    x = 10,086,013,709.46/106,802.36
  6. Step 6: Final answer
    x = 94,436.24

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1.5x scale

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.