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Finding the Fourth Proportional to 423,087.32, 634,632.96 and 142,607

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Solution

The fourth proportional to 423,087.32, 634,632.96 and 142,607 is: 213,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,087.32 : 634,632.96 = 142,607 : x
  2. Step 2: Convert to fraction form
    423,087.32/634,632.96 = 142,607/x
  3. Step 3: Cross multiply
    423,087.32x = 634,632.96 × 142,607
  4. Step 4: Simplify right side
    423,087.32x = 90,503,102,526.72
  5. Step 5: Solve for x
    x = 90,503,102,526.72/423,087.32
  6. Step 6: Final answer
    x = 213,911.17

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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.