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Finding the Fourth Proportional to 159,632.16, 220,434.78 and 152,070

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Solution

The fourth proportional to 159,632.16, 220,434.78 and 152,070 is: 209,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,632.16 : 220,434.78 = 152,070 : x
  2. Step 2: Convert to fraction form
    159,632.16/220,434.78 = 152,070/x
  3. Step 3: Cross multiply
    159,632.16x = 220,434.78 × 152,070
  4. Step 4: Simplify right side
    159,632.16x = 33,521,516,994.60
  5. Step 5: Solve for x
    x = 33,521,516,994.60/159,632.16
  6. Step 6: Final answer
    x = 209,992.25

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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.