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Finding the Fourth Proportional to 309,275.16, 463,985.40 and 96,032.16

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Solution

The fourth proportional to 309,275.16, 463,985.40 and 96,032.16 is: 144,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,275.16 : 463,985.40 = 96,032.16 : x
  2. Step 2: Convert to fraction form
    309,275.16/463,985.40 = 96,032.16/x
  3. Step 3: Cross multiply
    309,275.16x = 463,985.40 × 96,032.16
  4. Step 4: Simplify right side
    309,275.16x = 44,557,520,170.46
  5. Step 5: Solve for x
    x = 44,557,520,170.46/309,275.16
  6. Step 6: Final answer
    x = 144,070.80

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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.