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Finding the Fourth Proportional to 233,033.64, 349,308.06 and 158,159.89

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Solution

The fourth proportional to 233,033.64, 349,308.06 and 158,159.89 is: 237,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,033.64 : 349,308.06 = 158,159.89 : x
  2. Step 2: Convert to fraction form
    233,033.64/349,308.06 = 158,159.89/x
  3. Step 3: Cross multiply
    233,033.64x = 349,308.06 × 158,159.89
  4. Step 4: Simplify right side
    233,033.64x = 55,246,524,345.71
  5. Step 5: Solve for x
    x = 55,246,524,345.71/233,033.64
  6. Step 6: Final answer
    x = 237,075.32

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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.