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Finding the Fourth Proportional to 150,099.84, 224,987.76 and 97,547.04

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Solution

The fourth proportional to 150,099.84, 224,987.76 and 97,547.04 is: 146,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,099.84 : 224,987.76 = 97,547.04 : x
  2. Step 2: Convert to fraction form
    150,099.84/224,987.76 = 97,547.04/x
  3. Step 3: Cross multiply
    150,099.84x = 224,987.76 × 97,547.04
  4. Step 4: Simplify right side
    150,099.84x = 21,946,890,024.23
  5. Step 5: Solve for x
    x = 21,946,890,024.23/150,099.84
  6. Step 6: Final answer
    x = 146,215.28

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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.