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Finding the Fourth Proportional to 145,931.40, 218,411.10 and 105,836.40

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Solution

The fourth proportional to 145,931.40, 218,411.10 and 105,836.40 is: 158,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,931.40 : 218,411.10 = 105,836.40 : x
  2. Step 2: Convert to fraction form
    145,931.40/218,411.10 = 105,836.40/x
  3. Step 3: Cross multiply
    145,931.40x = 218,411.10 × 105,836.40
  4. Step 4: Simplify right side
    145,931.40x = 23,115,844,544.04
  5. Step 5: Solve for x
    x = 23,115,844,544.04/145,931.40
  6. Step 6: Final answer
    x = 158,402.13

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1.5x scale

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.