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Finding the Fourth Proportional to 157,106.46, 216,937.86 and 145,709.76

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Solution

The fourth proportional to 157,106.46, 216,937.86 and 145,709.76 is: 201,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,106.46 : 216,937.86 = 145,709.76 : x
  2. Step 2: Convert to fraction form
    157,106.46/216,937.86 = 145,709.76/x
  3. Step 3: Cross multiply
    157,106.46x = 216,937.86 × 145,709.76
  4. Step 4: Simplify right side
    157,106.46x = 31,609,963,515.51
  5. Step 5: Solve for x
    x = 31,609,963,515.51/157,106.46
  6. Step 6: Final answer
    x = 201,200.92

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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.