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Finding the Fourth Proportional to 153,881.76, 230,215.32 and 116,549.40

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Solution

The fourth proportional to 153,881.76, 230,215.32 and 116,549.40 is: 174,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,881.76 : 230,215.32 = 116,549.40 : x
  2. Step 2: Convert to fraction form
    153,881.76/230,215.32 = 116,549.40/x
  3. Step 3: Cross multiply
    153,881.76x = 230,215.32 × 116,549.40
  4. Step 4: Simplify right side
    153,881.76x = 26,831,457,416.81
  5. Step 5: Solve for x
    x = 26,831,457,416.81/153,881.76
  6. Step 6: Final answer
    x = 174,364.12

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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.