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Finding the Fourth Proportional to 219,019.84, 302,312.01 and 128,395.42

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Solution

The fourth proportional to 219,019.84, 302,312.01 and 128,395.42 is: 177,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,019.84 : 302,312.01 = 128,395.42 : x
  2. Step 2: Convert to fraction form
    219,019.84/302,312.01 = 128,395.42/x
  3. Step 3: Cross multiply
    219,019.84x = 302,312.01 × 128,395.42
  4. Step 4: Simplify right side
    219,019.84x = 38,815,477,220.70
  5. Step 5: Solve for x
    x = 38,815,477,220.70/219,019.84
  6. Step 6: Final answer
    x = 177,223.57

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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.