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Finding the Fourth Proportional to 191,129.40, 286,607.70 and 85,894.20

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Solution

The fourth proportional to 191,129.40, 286,607.70 and 85,894.20 is: 128,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,129.40 : 286,607.70 = 85,894.20 : x
  2. Step 2: Convert to fraction form
    191,129.40/286,607.70 = 85,894.20/x
  3. Step 3: Cross multiply
    191,129.40x = 286,607.70 × 85,894.20
  4. Step 4: Simplify right side
    191,129.40x = 24,617,939,105.34
  5. Step 5: Solve for x
    x = 24,617,939,105.34/191,129.40
  6. Step 6: Final answer
    x = 128,802.47

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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.