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Finding the Fourth Proportional to 153,186.32, 229,779.56 and 70,022

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Solution

The fourth proportional to 153,186.32, 229,779.56 and 70,022 is: 105,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,186.32 : 229,779.56 = 70,022 : x
  2. Step 2: Convert to fraction form
    153,186.32/229,779.56 = 70,022/x
  3. Step 3: Cross multiply
    153,186.32x = 229,779.56 × 70,022
  4. Step 4: Simplify right side
    153,186.32x = 16,089,624,350.32
  5. Step 5: Solve for x
    x = 16,089,624,350.32/153,186.32
  6. Step 6: Final answer
    x = 105,033.04

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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.