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Finding the Fourth Proportional to 191,362.10, 286,948.85 and 64,956.20

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Solution

The fourth proportional to 191,362.10, 286,948.85 and 64,956.20 is: 97,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,362.10 : 286,948.85 = 64,956.20 : x
  2. Step 2: Convert to fraction form
    191,362.10/286,948.85 = 64,956.20/x
  3. Step 3: Cross multiply
    191,362.10x = 286,948.85 × 64,956.20
  4. Step 4: Simplify right side
    191,362.10x = 18,639,105,130.84
  5. Step 5: Solve for x
    x = 18,639,105,130.84/191,362.10
  6. Step 6: Final answer
    x = 97,402.28

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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.