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Finding the Fourth Proportional to 106,165.40, 159,248.10 and 42,985.40

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Solution

The fourth proportional to 106,165.40, 159,248.10 and 42,985.40 is: 64,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,165.40 : 159,248.10 = 42,985.40 : x
  2. Step 2: Convert to fraction form
    106,165.40/159,248.10 = 42,985.40/x
  3. Step 3: Cross multiply
    106,165.40x = 159,248.10 × 42,985.40
  4. Step 4: Simplify right side
    106,165.40x = 6,845,343,277.74
  5. Step 5: Solve for x
    x = 6,845,343,277.74/106,165.40
  6. Step 6: Final answer
    x = 64,478.10

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1.5x scale

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.