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Finding the Fourth Proportional to 201,070.16, 277,455.56 and 116,214.16

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Solution

The fourth proportional to 201,070.16, 277,455.56 and 116,214.16 is: 160,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,070.16 : 277,455.56 = 116,214.16 : x
  2. Step 2: Convert to fraction form
    201,070.16/277,455.56 = 116,214.16/x
  3. Step 3: Cross multiply
    201,070.16x = 277,455.56 × 116,214.16
  4. Step 4: Simplify right side
    201,070.16x = 32,244,264,842.73
  5. Step 5: Solve for x
    x = 32,244,264,842.73/201,070.16
  6. Step 6: Final answer
    x = 160,363.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.