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Finding the Fourth Proportional to 191,307.86, 286,969.08 and 97,704.26

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Solution

The fourth proportional to 191,307.86, 286,969.08 and 97,704.26 is: 146,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,307.86 : 286,969.08 = 97,704.26 : x
  2. Step 2: Convert to fraction form
    191,307.86/286,969.08 = 97,704.26/x
  3. Step 3: Cross multiply
    191,307.86x = 286,969.08 × 97,704.26
  4. Step 4: Simplify right side
    191,307.86x = 28,038,101,604.28
  5. Step 5: Solve for x
    x = 28,038,101,604.28/191,307.86
  6. Step 6: Final answer
    x = 146,560.11

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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.