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Finding the Fourth Proportional to 202,157.60, 303,430.80 and 102,430.40

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Solution

The fourth proportional to 202,157.60, 303,430.80 and 102,430.40 is: 153,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,157.60 : 303,430.80 = 102,430.40 : x
  2. Step 2: Convert to fraction form
    202,157.60/303,430.80 = 102,430.40/x
  3. Step 3: Cross multiply
    202,157.60x = 303,430.80 × 102,430.40
  4. Step 4: Simplify right side
    202,157.60x = 31,080,538,216.32
  5. Step 5: Solve for x
    x = 31,080,538,216.32/202,157.60
  6. Step 6: Final answer
    x = 153,744.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.