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Finding the Fourth Proportional to 210,430.40, 315,645.60 and 131,698.40

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Solution

The fourth proportional to 210,430.40, 315,645.60 and 131,698.40 is: 197,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,430.40 : 315,645.60 = 131,698.40 : x
  2. Step 2: Convert to fraction form
    210,430.40/315,645.60 = 131,698.40/x
  3. Step 3: Cross multiply
    210,430.40x = 315,645.60 × 131,698.40
  4. Step 4: Simplify right side
    210,430.40x = 41,570,020,487.04
  5. Step 5: Solve for x
    x = 41,570,020,487.04/210,430.40
  6. Step 6: Final answer
    x = 197,547.60

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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.