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Finding the Fourth Proportional to 98,045.10, 145,958.81 and 97,461.90

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Solution

The fourth proportional to 98,045.10, 145,958.81 and 97,461.90 is: 145,090.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,045.10 : 145,958.81 = 97,461.90 : x
  2. Step 2: Convert to fraction form
    98,045.10/145,958.81 = 97,461.90/x
  3. Step 3: Cross multiply
    98,045.10x = 145,958.81 × 97,461.90
  4. Step 4: Simplify right side
    98,045.10x = 14,225,422,457.03
  5. Step 5: Solve for x
    x = 14,225,422,457.03/98,045.10
  6. Step 6: Final answer
    x = 145,090.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.