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Finding the Fourth Proportional to 153,901.60, 230,823.24 and 54,038.32

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Solution

The fourth proportional to 153,901.60, 230,823.24 and 54,038.32 is: 81,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,901.60 : 230,823.24 = 54,038.32 : x
  2. Step 2: Convert to fraction form
    153,901.60/230,823.24 = 54,038.32/x
  3. Step 3: Cross multiply
    153,901.60x = 230,823.24 × 54,038.32
  4. Step 4: Simplify right side
    153,901.60x = 12,473,300,106.56
  5. Step 5: Solve for x
    x = 12,473,300,106.56/153,901.60
  6. Step 6: Final answer
    x = 81,047.24

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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.