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Finding the Fourth Proportional to 109,155, 163,784.34 and 35,283

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Solution

The fourth proportional to 109,155, 163,784.34 and 35,283 is: 52,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,155 : 163,784.34 = 35,283 : x
  2. Step 2: Convert to fraction form
    109,155/163,784.34 = 35,283/x
  3. Step 3: Cross multiply
    109,155x = 163,784.34 × 35,283
  4. Step 4: Simplify right side
    109,155x = 5,778,802,868.22
  5. Step 5: Solve for x
    x = 5,778,802,868.22/109,155
  6. Step 6: Final answer
    x = 52,941.26

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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.