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Finding the Fourth Proportional to 231,070.95, 318,707.33 and 146,106

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Solution

The fourth proportional to 231,070.95, 318,707.33 and 146,106 is: 201,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,070.95 : 318,707.33 = 146,106 : x
  2. Step 2: Convert to fraction form
    231,070.95/318,707.33 = 146,106/x
  3. Step 3: Cross multiply
    231,070.95x = 318,707.33 × 146,106
  4. Step 4: Simplify right side
    231,070.95x = 46,565,052,426.45
  5. Step 5: Solve for x
    x = 46,565,052,426.45/231,070.95
  6. Step 6: Final answer
    x = 201,518.42

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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.