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Finding the Fourth Proportional to 183,482.86, 253,206.27 and 106,987.20

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Solution

The fourth proportional to 183,482.86, 253,206.27 and 106,987.20 is: 147,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,482.86 : 253,206.27 = 106,987.20 : x
  2. Step 2: Convert to fraction form
    183,482.86/253,206.27 = 106,987.20/x
  3. Step 3: Cross multiply
    183,482.86x = 253,206.27 × 106,987.20
  4. Step 4: Simplify right side
    183,482.86x = 27,089,828,583.71
  5. Step 5: Solve for x
    x = 27,089,828,583.71/183,482.86
  6. Step 6: Final answer
    x = 147,642.28

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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.