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Finding the Fourth Proportional to 219,551.32, 302,981.16 and 118,949.32

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Solution

The fourth proportional to 219,551.32, 302,981.16 and 118,949.32 is: 164,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,551.32 : 302,981.16 = 118,949.32 : x
  2. Step 2: Convert to fraction form
    219,551.32/302,981.16 = 118,949.32/x
  3. Step 3: Cross multiply
    219,551.32x = 302,981.16 × 118,949.32
  4. Step 4: Simplify right side
    219,551.32x = 36,039,402,954.81
  5. Step 5: Solve for x
    x = 36,039,402,954.81/219,551.32
  6. Step 6: Final answer
    x = 164,150.24

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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.