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Finding the Fourth Proportional to 228,308.55, 342,465.14 and 101,955.24

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Solution

The fourth proportional to 228,308.55, 342,465.14 and 101,955.24 is: 152,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,308.55 : 342,465.14 = 101,955.24 : x
  2. Step 2: Convert to fraction form
    228,308.55/342,465.14 = 101,955.24/x
  3. Step 3: Cross multiply
    228,308.55x = 342,465.14 × 101,955.24
  4. Step 4: Simplify right side
    228,308.55x = 34,916,113,828.01
  5. Step 5: Solve for x
    x = 34,916,113,828.01/228,308.55
  6. Step 6: Final answer
    x = 152,933.89

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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.