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Finding the Fourth Proportional to 178,005.84, 245,599.48 and 101,497.04

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Solution

The fourth proportional to 178,005.84, 245,599.48 and 101,497.04 is: 140,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,005.84 : 245,599.48 = 101,497.04 : x
  2. Step 2: Convert to fraction form
    178,005.84/245,599.48 = 101,497.04/x
  3. Step 3: Cross multiply
    178,005.84x = 245,599.48 × 101,497.04
  4. Step 4: Simplify right side
    178,005.84x = 24,927,620,065.41
  5. Step 5: Solve for x
    x = 24,927,620,065.41/178,005.84
  6. Step 6: Final answer
    x = 140,038.21

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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.