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Finding the Fourth Proportional to 106,492.42, 146,985.15 and 64,042.75

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Solution

The fourth proportional to 106,492.42, 146,985.15 and 64,042.75 is: 88,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.42 : 146,985.15 = 64,042.75 : x
  2. Step 2: Convert to fraction form
    106,492.42/146,985.15 = 64,042.75/x
  3. Step 3: Cross multiply
    106,492.42x = 146,985.15 × 64,042.75
  4. Step 4: Simplify right side
    106,492.42x = 9,413,333,215.16
  5. Step 5: Solve for x
    x = 9,413,333,215.16/106,492.42
  6. Step 6: Final answer
    x = 88,394.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.