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Finding the Fourth Proportional to 178,208.58, 245,927.84 and 97,639.16

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Solution

The fourth proportional to 178,208.58, 245,927.84 and 97,639.16 is: 134,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,208.58 : 245,927.84 = 97,639.16 : x
  2. Step 2: Convert to fraction form
    178,208.58/245,927.84 = 97,639.16/x
  3. Step 3: Cross multiply
    178,208.58x = 245,927.84 × 97,639.16
  4. Step 4: Simplify right side
    178,208.58x = 24,012,186,000.38
  5. Step 5: Solve for x
    x = 24,012,186,000.38/178,208.58
  6. Step 6: Final answer
    x = 134,742.03

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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.