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Finding the Fourth Proportional to 153,284.99, 229,986 and 59,798.03

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Solution

The fourth proportional to 153,284.99, 229,986 and 59,798.03 is: 89,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,284.99 : 229,986 = 59,798.03 : x
  2. Step 2: Convert to fraction form
    153,284.99/229,986 = 59,798.03/x
  3. Step 3: Cross multiply
    153,284.99x = 229,986 × 59,798.03
  4. Step 4: Simplify right side
    153,284.99x = 13,752,708,577.65
  5. Step 5: Solve for x
    x = 13,752,708,577.65/153,284.99
  6. Step 6: Final answer
    x = 89,719.87

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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.