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Finding the Fourth Proportional to 97,762.40, 146,384.40 and 77,026.40

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Solution

The fourth proportional to 97,762.40, 146,384.40 and 77,026.40 is: 115,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,762.40 : 146,384.40 = 77,026.40 : x
  2. Step 2: Convert to fraction form
    97,762.40/146,384.40 = 77,026.40/x
  3. Step 3: Cross multiply
    97,762.40x = 146,384.40 × 77,026.40
  4. Step 4: Simplify right side
    97,762.40x = 11,275,463,348.16
  5. Step 5: Solve for x
    x = 11,275,463,348.16/97,762.40
  6. Step 6: Final answer
    x = 115,335.38

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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.