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Finding the Fourth Proportional to 102,477.16, 152,697.03 and 91,297.94

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Solution

The fourth proportional to 102,477.16, 152,697.03 and 91,297.94 is: 136,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,477.16 : 152,697.03 = 91,297.94 : x
  2. Step 2: Convert to fraction form
    102,477.16/152,697.03 = 91,297.94/x
  3. Step 3: Cross multiply
    102,477.16x = 152,697.03 × 91,297.94
  4. Step 4: Simplify right side
    102,477.16x = 13,940,924,283.12
  5. Step 5: Solve for x
    x = 13,940,924,283.12/102,477.16
  6. Step 6: Final answer
    x = 136,039.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.