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Finding the Fourth Proportional to 186,543.36, 279,897.48 and 97,775.64

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Solution

The fourth proportional to 186,543.36, 279,897.48 and 97,775.64 is: 146,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,543.36 : 279,897.48 = 97,775.64 : x
  2. Step 2: Convert to fraction form
    186,543.36/279,897.48 = 97,775.64/x
  3. Step 3: Cross multiply
    186,543.36x = 279,897.48 × 97,775.64
  4. Step 4: Simplify right side
    186,543.36x = 27,367,155,241.39
  5. Step 5: Solve for x
    x = 27,367,155,241.39/186,543.36
  6. Step 6: Final answer
    x = 146,706.67

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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.