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Finding the Fourth Proportional to 153,188.32, 229,782.56 and 70,024

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Solution

The fourth proportional to 153,188.32, 229,782.56 and 70,024 is: 105,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,188.32 : 229,782.56 = 70,024 : x
  2. Step 2: Convert to fraction form
    153,188.32/229,782.56 = 70,024/x
  3. Step 3: Cross multiply
    153,188.32x = 229,782.56 × 70,024
  4. Step 4: Simplify right side
    153,188.32x = 16,090,293,981.44
  5. Step 5: Solve for x
    x = 16,090,293,981.44/153,188.32
  6. Step 6: Final answer
    x = 105,036.04

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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.