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Finding the Fourth Proportional to 153,158.36, 229,748.52 and 40,838.00

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Solution

The fourth proportional to 153,158.36, 229,748.52 and 40,838.00 is: 61,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,158.36 : 229,748.52 = 40,838.00 : x
  2. Step 2: Convert to fraction form
    153,158.36/229,748.52 = 40,838.00/x
  3. Step 3: Cross multiply
    153,158.36x = 229,748.52 × 40,838.00
  4. Step 4: Simplify right side
    153,158.36x = 9,382,468,911.02
  5. Step 5: Solve for x
    x = 9,382,468,911.02/153,158.36
  6. Step 6: Final answer
    x = 61,259.92

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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.