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Finding the Fourth Proportional to 169,405.60, 254,108.40 and 152,298.40

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Solution

The fourth proportional to 169,405.60, 254,108.40 and 152,298.40 is: 228,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,405.60 : 254,108.40 = 152,298.40 : x
  2. Step 2: Convert to fraction form
    169,405.60/254,108.40 = 152,298.40/x
  3. Step 3: Cross multiply
    169,405.60x = 254,108.40 × 152,298.40
  4. Step 4: Simplify right side
    169,405.60x = 38,700,302,746.56
  5. Step 5: Solve for x
    x = 38,700,302,746.56/169,405.60
  6. Step 6: Final answer
    x = 228,447.60

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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.