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Finding the Fourth Proportional to 100,897.84, 151,113.48 and 97,398.64

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Solution

The fourth proportional to 100,897.84, 151,113.48 and 97,398.64 is: 145,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,897.84 : 151,113.48 = 97,398.64 : x
  2. Step 2: Convert to fraction form
    100,897.84/151,113.48 = 97,398.64/x
  3. Step 3: Cross multiply
    100,897.84x = 151,113.48 × 97,398.64
  4. Step 4: Simplify right side
    100,897.84x = 14,718,247,437.67
  5. Step 5: Solve for x
    x = 14,718,247,437.67/100,897.84
  6. Step 6: Final answer
    x = 145,872.77

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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.