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Finding the Fourth Proportional to 145,062.60, 217,302.30 and 97,823.40

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Solution

The fourth proportional to 145,062.60, 217,302.30 and 97,823.40 is: 146,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,062.60 : 217,302.30 = 97,823.40 : x
  2. Step 2: Convert to fraction form
    145,062.60/217,302.30 = 97,823.40/x
  3. Step 3: Cross multiply
    145,062.60x = 217,302.30 × 97,823.40
  4. Step 4: Simplify right side
    145,062.60x = 21,257,249,813.82
  5. Step 5: Solve for x
    x = 21,257,249,813.82/145,062.60
  6. Step 6: Final answer
    x = 146,538.46

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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.