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Finding the Fourth Proportional to 155,730, 233,742.68 and 96,386.16

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Solution

The fourth proportional to 155,730, 233,742.68 and 96,386.16 is: 144,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,730 : 233,742.68 = 96,386.16 : x
  2. Step 2: Convert to fraction form
    155,730/233,742.68 = 96,386.16/x
  3. Step 3: Cross multiply
    155,730x = 233,742.68 × 96,386.16
  4. Step 4: Simplify right side
    155,730x = 22,529,559,353.31
  5. Step 5: Solve for x
    x = 22,529,559,353.31/155,730
  6. Step 6: Final answer
    x = 144,670.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.