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Finding the Fourth Proportional to 178,072.02, 245,730 and 97,484.10

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Solution

The fourth proportional to 178,072.02, 245,730 and 97,484.10 is: 134,522.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,072.02 : 245,730 = 97,484.10 : x
  2. Step 2: Convert to fraction form
    178,072.02/245,730 = 97,484.10/x
  3. Step 3: Cross multiply
    178,072.02x = 245,730 × 97,484.10
  4. Step 4: Simplify right side
    178,072.02x = 23,954,767,893
  5. Step 5: Solve for x
    x = 23,954,767,893/178,072.02
  6. Step 6: Final answer
    x = 134,522.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.