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Finding the Fourth Proportional to 292,071.80, 403,059.12 and 157,935.80

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Solution

The fourth proportional to 292,071.80, 403,059.12 and 157,935.80 is: 217,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,071.80 : 403,059.12 = 157,935.80 : x
  2. Step 2: Convert to fraction form
    292,071.80/403,059.12 = 157,935.80/x
  3. Step 3: Cross multiply
    292,071.80x = 403,059.12 × 157,935.80
  4. Step 4: Simplify right side
    292,071.80x = 63,657,464,564.50
  5. Step 5: Solve for x
    x = 63,657,464,564.50/292,071.80
  6. Step 6: Final answer
    x = 217,951.42

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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.