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Finding the Fourth Proportional to 153,643.16, 230,464.74 and 48,470.30

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Solution

The fourth proportional to 153,643.16, 230,464.74 and 48,470.30 is: 72,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,643.16 : 230,464.74 = 48,470.30 : x
  2. Step 2: Convert to fraction form
    153,643.16/230,464.74 = 48,470.30/x
  3. Step 3: Cross multiply
    153,643.16x = 230,464.74 × 48,470.30
  4. Step 4: Simplify right side
    153,643.16x = 11,170,695,087.22
  5. Step 5: Solve for x
    x = 11,170,695,087.22/153,643.16
  6. Step 6: Final answer
    x = 72,705.45

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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.