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Finding the Fourth Proportional to 178,252.16, 245,994.75 and 101,783.70

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Solution

The fourth proportional to 178,252.16, 245,994.75 and 101,783.70 is: 140,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,252.16 : 245,994.75 = 101,783.70 : x
  2. Step 2: Convert to fraction form
    178,252.16/245,994.75 = 101,783.70/x
  3. Step 3: Cross multiply
    178,252.16x = 245,994.75 × 101,783.70
  4. Step 4: Simplify right side
    178,252.16x = 25,038,255,835.58
  5. Step 5: Solve for x
    x = 25,038,255,835.58/178,252.16
  6. Step 6: Final answer
    x = 140,465.38

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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.