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Finding the Fourth Proportional to 152,200.64, 210,022.58 and 103,042.26

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Solution

The fourth proportional to 152,200.64, 210,022.58 and 103,042.26 is: 142,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,200.64 : 210,022.58 = 103,042.26 : x
  2. Step 2: Convert to fraction form
    152,200.64/210,022.58 = 103,042.26/x
  3. Step 3: Cross multiply
    152,200.64x = 210,022.58 × 103,042.26
  4. Step 4: Simplify right side
    152,200.64x = 21,641,200,779.02
  5. Step 5: Solve for x
    x = 21,641,200,779.02/152,200.64
  6. Step 6: Final answer
    x = 142,188.64

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