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Finding the Fourth Proportional to 201,688.90, 302,533.35 and 96,712.90

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Solution

The fourth proportional to 201,688.90, 302,533.35 and 96,712.90 is: 145,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,688.90 : 302,533.35 = 96,712.90 : x
  2. Step 2: Convert to fraction form
    201,688.90/302,533.35 = 96,712.90/x
  3. Step 3: Cross multiply
    201,688.90x = 302,533.35 × 96,712.90
  4. Step 4: Simplify right side
    201,688.90x = 29,258,877,625.22
  5. Step 5: Solve for x
    x = 29,258,877,625.22/201,688.90
  6. Step 6: Final answer
    x = 145,069.35

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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.