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Finding the Fourth Proportional to 242,705.60, 364,058.40 and 136,417.40

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Solution

The fourth proportional to 242,705.60, 364,058.40 and 136,417.40 is: 204,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,705.60 : 364,058.40 = 136,417.40 : x
  2. Step 2: Convert to fraction form
    242,705.60/364,058.40 = 136,417.40/x
  3. Step 3: Cross multiply
    242,705.60x = 364,058.40 × 136,417.40
  4. Step 4: Simplify right side
    242,705.60x = 49,663,900,376.16
  5. Step 5: Solve for x
    x = 49,663,900,376.16/242,705.60
  6. Step 6: Final answer
    x = 204,626.10

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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.