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Finding the Fourth Proportional to 153,875.26, 230,810.48 and 78,952.16

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Solution

The fourth proportional to 153,875.26, 230,810.48 and 78,952.16 is: 118,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,875.26 : 230,810.48 = 78,952.16 : x
  2. Step 2: Convert to fraction form
    153,875.26/230,810.48 = 78,952.16/x
  3. Step 3: Cross multiply
    153,875.26x = 230,810.48 × 78,952.16
  4. Step 4: Simplify right side
    153,875.26x = 18,222,985,946.64
  5. Step 5: Solve for x
    x = 18,222,985,946.64/153,875.26
  6. Step 6: Final answer
    x = 118,427.00

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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.