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Finding the Fourth Proportional to 201,688.90, 302,533.35 and 130,830.10

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Solution

The fourth proportional to 201,688.90, 302,533.35 and 130,830.10 is: 196,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,688.90 : 302,533.35 = 130,830.10 : x
  2. Step 2: Convert to fraction form
    201,688.90/302,533.35 = 130,830.10/x
  3. Step 3: Cross multiply
    201,688.90x = 302,533.35 × 130,830.10
  4. Step 4: Simplify right side
    201,688.90x = 39,580,468,433.84
  5. Step 5: Solve for x
    x = 39,580,468,433.84/201,688.90
  6. Step 6: Final answer
    x = 196,245.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.