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Finding the Fourth Proportional to 165,870.40, 228,951.48 and 157,407.52

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Solution

The fourth proportional to 165,870.40, 228,951.48 and 157,407.52 is: 217,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,870.40 : 228,951.48 = 157,407.52 : x
  2. Step 2: Convert to fraction form
    165,870.40/228,951.48 = 157,407.52/x
  3. Step 3: Cross multiply
    165,870.40x = 228,951.48 × 157,407.52
  4. Step 4: Simplify right side
    165,870.40x = 36,038,684,667.13
  5. Step 5: Solve for x
    x = 36,038,684,667.13/165,870.40
  6. Step 6: Final answer
    x = 217,270.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.