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Finding the Fourth Proportional to 535,125.76, 802,771.72 and 180,112.08

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Solution

The fourth proportional to 535,125.76, 802,771.72 and 180,112.08 is: 270,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,125.76 : 802,771.72 = 180,112.08 : x
  2. Step 2: Convert to fraction form
    535,125.76/802,771.72 = 180,112.08/x
  3. Step 3: Cross multiply
    535,125.76x = 802,771.72 × 180,112.08
  4. Step 4: Simplify right side
    535,125.76x = 144,588,884,254.38
  5. Step 5: Solve for x
    x = 144,588,884,254.38/535,125.76
  6. Step 6: Final answer
    x = 270,196.08

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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.