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Finding the Fourth Proportional to 178,154.16, 245,852.80 and 97,583.04

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Solution

The fourth proportional to 178,154.16, 245,852.80 and 97,583.04 is: 134,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,154.16 : 245,852.80 = 97,583.04 : x
  2. Step 2: Convert to fraction form
    178,154.16/245,852.80 = 97,583.04/x
  3. Step 3: Cross multiply
    178,154.16x = 245,852.80 × 97,583.04
  4. Step 4: Simplify right side
    178,154.16x = 23,991,063,616.51
  5. Step 5: Solve for x
    x = 23,991,063,616.51/178,154.16
  6. Step 6: Final answer
    x = 134,664.63

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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.