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Finding the Fourth Proportional to 233,567.80, 350,351.93 and 65,088.61

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Solution

The fourth proportional to 233,567.80, 350,351.93 and 65,088.61 is: 97,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,567.80 : 350,351.93 = 65,088.61 : x
  2. Step 2: Convert to fraction form
    233,567.80/350,351.93 = 65,088.61/x
  3. Step 3: Cross multiply
    233,567.80x = 350,351.93 × 65,088.61
  4. Step 4: Simplify right side
    233,567.80x = 22,803,921,392.09
  5. Step 5: Solve for x
    x = 22,803,921,392.09/233,567.80
  6. Step 6: Final answer
    x = 97,632.98

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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.