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Finding the Fourth Proportional to 153,568.14, 211,851.60 and 89,866.50

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Solution

The fourth proportional to 153,568.14, 211,851.60 and 89,866.50 is: 123,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,568.14 : 211,851.60 = 89,866.50 : x
  2. Step 2: Convert to fraction form
    153,568.14/211,851.60 = 89,866.50/x
  3. Step 3: Cross multiply
    153,568.14x = 211,851.60 × 89,866.50
  4. Step 4: Simplify right side
    153,568.14x = 19,038,361,811.40
  5. Step 5: Solve for x
    x = 19,038,361,811.40/153,568.14
  6. Step 6: Final answer
    x = 123,973.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.