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Finding the Fourth Proportional to 191,109.18, 286,706.70 and 64,742.16

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Solution

The fourth proportional to 191,109.18, 286,706.70 and 64,742.16 is: 97,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,109.18 : 286,706.70 = 64,742.16 : x
  2. Step 2: Convert to fraction form
    191,109.18/286,706.70 = 64,742.16/x
  3. Step 3: Cross multiply
    191,109.18x = 286,706.70 × 64,742.16
  4. Step 4: Simplify right side
    191,109.18x = 18,562,011,044.47
  5. Step 5: Solve for x
    x = 18,562,011,044.47/191,109.18
  6. Step 6: Final answer
    x = 97,127.78

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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.