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Finding the Fourth Proportional to 177,646.59, 245,152.93 and 97,074.12

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Solution

The fourth proportional to 177,646.59, 245,152.93 and 97,074.12 is: 133,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,646.59 : 245,152.93 = 97,074.12 : x
  2. Step 2: Convert to fraction form
    177,646.59/245,152.93 = 97,074.12/x
  3. Step 3: Cross multiply
    177,646.59x = 245,152.93 × 97,074.12
  4. Step 4: Simplify right side
    177,646.59x = 23,798,003,962.09
  5. Step 5: Solve for x
    x = 23,798,003,962.09/177,646.59
  6. Step 6: Final answer
    x = 133,962.63

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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.