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Finding the Fourth Proportional to 201,979.30, 302,968.95 and 152,407.30

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Solution

The fourth proportional to 201,979.30, 302,968.95 and 152,407.30 is: 228,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,979.30 : 302,968.95 = 152,407.30 : x
  2. Step 2: Convert to fraction form
    201,979.30/302,968.95 = 152,407.30/x
  3. Step 3: Cross multiply
    201,979.30x = 302,968.95 × 152,407.30
  4. Step 4: Simplify right side
    201,979.30x = 46,174,679,653.34
  5. Step 5: Solve for x
    x = 46,174,679,653.34/201,979.30
  6. Step 6: Final answer
    x = 228,610.95

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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.