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Finding the Fourth Proportional to 233,762.40, 350,643.60 and 65,282.40

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Solution

The fourth proportional to 233,762.40, 350,643.60 and 65,282.40 is: 97,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,762.40 : 350,643.60 = 65,282.40 : x
  2. Step 2: Convert to fraction form
    233,762.40/350,643.60 = 65,282.40/x
  3. Step 3: Cross multiply
    233,762.40x = 350,643.60 × 65,282.40
  4. Step 4: Simplify right side
    233,762.40x = 22,890,855,752.64
  5. Step 5: Solve for x
    x = 22,890,855,752.64/233,762.40
  6. Step 6: Final answer
    x = 97,923.60

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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.