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Finding the Fourth Proportional to 97,225.60, 145,514.40 and 70,495.60

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Solution

The fourth proportional to 97,225.60, 145,514.40 and 70,495.60 is: 105,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,225.60 : 145,514.40 = 70,495.60 : x
  2. Step 2: Convert to fraction form
    97,225.60/145,514.40 = 70,495.60/x
  3. Step 3: Cross multiply
    97,225.60x = 145,514.40 × 70,495.60
  4. Step 4: Simplify right side
    97,225.60x = 10,258,124,936.64
  5. Step 5: Solve for x
    x = 10,258,124,936.64/97,225.60
  6. Step 6: Final answer
    x = 105,508.48

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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.