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Finding the Fourth Proportional to 98,977.60, 148,466.40 and 97,009.30

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Solution

The fourth proportional to 98,977.60, 148,466.40 and 97,009.30 is: 145,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,977.60 : 148,466.40 = 97,009.30 : x
  2. Step 2: Convert to fraction form
    98,977.60/148,466.40 = 97,009.30/x
  3. Step 3: Cross multiply
    98,977.60x = 148,466.40 × 97,009.30
  4. Step 4: Simplify right side
    98,977.60x = 14,402,621,537.52
  5. Step 5: Solve for x
    x = 14,402,621,537.52/98,977.60
  6. Step 6: Final answer
    x = 145,513.95

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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.