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Finding the Fourth Proportional to 97,647.40, 146,303.76 and 65,566.36

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Solution

The fourth proportional to 97,647.40, 146,303.76 and 65,566.36 is: 98,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,647.40 : 146,303.76 = 65,566.36 : x
  2. Step 2: Convert to fraction form
    97,647.40/146,303.76 = 65,566.36/x
  3. Step 3: Cross multiply
    97,647.40x = 146,303.76 × 65,566.36
  4. Step 4: Simplify right side
    97,647.40x = 9,592,604,997.51
  5. Step 5: Solve for x
    x = 9,592,604,997.51/97,647.40
  6. Step 6: Final answer
    x = 98,237.18

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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.