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Finding the Fourth Proportional to 153,875.76, 230,206.32 and 116,543.40

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Solution

The fourth proportional to 153,875.76, 230,206.32 and 116,543.40 is: 174,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,875.76 : 230,206.32 = 116,543.40 : x
  2. Step 2: Convert to fraction form
    153,875.76/230,206.32 = 116,543.40/x
  3. Step 3: Cross multiply
    153,875.76x = 230,206.32 × 116,543.40
  4. Step 4: Simplify right side
    153,875.76x = 26,829,027,234.29
  5. Step 5: Solve for x
    x = 26,829,027,234.29/153,875.76
  6. Step 6: Final answer
    x = 174,355.12

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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.