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Finding the Fourth Proportional to 106,894.44, 147,497.70 and 61,574.28

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Solution

The fourth proportional to 106,894.44, 147,497.70 and 61,574.28 is: 84,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,894.44 : 147,497.70 = 61,574.28 : x
  2. Step 2: Convert to fraction form
    106,894.44/147,497.70 = 61,574.28/x
  3. Step 3: Cross multiply
    106,894.44x = 147,497.70 × 61,574.28
  4. Step 4: Simplify right side
    106,894.44x = 9,082,064,679.16
  5. Step 5: Solve for x
    x = 9,082,064,679.16/106,894.44
  6. Step 6: Final answer
    x = 84,962.93

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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.