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Finding the Fourth Proportional to 200,897.52, 277,276.80 and 132,915.84

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Solution

The fourth proportional to 200,897.52, 277,276.80 and 132,915.84 is: 183,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,897.52 : 277,276.80 = 132,915.84 : x
  2. Step 2: Convert to fraction form
    200,897.52/277,276.80 = 132,915.84/x
  3. Step 3: Cross multiply
    200,897.52x = 277,276.80 × 132,915.84
  4. Step 4: Simplify right side
    200,897.52x = 36,854,478,784.51
  5. Step 5: Solve for x
    x = 36,854,478,784.51/200,897.52
  6. Step 6: Final answer
    x = 183,449.15

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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.