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Finding the Fourth Proportional to 178,802.40, 268,203.60 and 176,037.60

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Solution

The fourth proportional to 178,802.40, 268,203.60 and 176,037.60 is: 264,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,802.40 : 268,203.60 = 176,037.60 : x
  2. Step 2: Convert to fraction form
    178,802.40/268,203.60 = 176,037.60/x
  3. Step 3: Cross multiply
    178,802.40x = 268,203.60 × 176,037.60
  4. Step 4: Simplify right side
    178,802.40x = 47,213,918,055.36
  5. Step 5: Solve for x
    x = 47,213,918,055.36/178,802.40
  6. Step 6: Final answer
    x = 264,056.40

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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.