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Finding the Fourth Proportional to 191,419.35, 287,155.29 and 65,025.66

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Solution

The fourth proportional to 191,419.35, 287,155.29 and 65,025.66 is: 97,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,419.35 : 287,155.29 = 65,025.66 : x
  2. Step 2: Convert to fraction form
    191,419.35/287,155.29 = 65,025.66/x
  3. Step 3: Cross multiply
    191,419.35x = 287,155.29 × 65,025.66
  4. Step 4: Simplify right side
    191,419.35x = 18,672,462,254.74
  5. Step 5: Solve for x
    x = 18,672,462,254.74/191,419.35
  6. Step 6: Final answer
    x = 97,547.41

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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.