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Finding the Fourth Proportional to 176,655.80, 265,097.10 and 97,826.60

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Solution

The fourth proportional to 176,655.80, 265,097.10 and 97,826.60 is: 146,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,655.80 : 265,097.10 = 97,826.60 : x
  2. Step 2: Convert to fraction form
    176,655.80/265,097.10 = 97,826.60/x
  3. Step 3: Cross multiply
    176,655.80x = 265,097.10 × 97,826.60
  4. Step 4: Simplify right side
    176,655.80x = 25,933,547,962.86
  5. Step 5: Solve for x
    x = 25,933,547,962.86/176,655.80
  6. Step 6: Final answer
    x = 146,802.70

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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.