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Finding the Fourth Proportional to 177,071.70, 265,607.01 and 55,501.50

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Solution

The fourth proportional to 177,071.70, 265,607.01 and 55,501.50 is: 83,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,071.70 : 265,607.01 = 55,501.50 : x
  2. Step 2: Convert to fraction form
    177,071.70/265,607.01 = 55,501.50/x
  3. Step 3: Cross multiply
    177,071.70x = 265,607.01 × 55,501.50
  4. Step 4: Simplify right side
    177,071.70x = 14,741,587,465.52
  5. Step 5: Solve for x
    x = 14,741,587,465.52/177,071.70
  6. Step 6: Final answer
    x = 83,252.08

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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.