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Finding the Fourth Proportional to 153,878.63, 230,831.16 and 54,030.24

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Solution

The fourth proportional to 153,878.63, 230,831.16 and 54,030.24 is: 81,050.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,878.63 : 230,831.16 = 54,030.24 : x
  2. Step 2: Convert to fraction form
    153,878.63/230,831.16 = 54,030.24/x
  3. Step 3: Cross multiply
    153,878.63x = 230,831.16 × 54,030.24
  4. Step 4: Simplify right side
    153,878.63x = 12,471,862,974.28
  5. Step 5: Solve for x
    x = 12,471,862,974.28/153,878.63
  6. Step 6: Final answer
    x = 81,050.00

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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.