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Finding the Fourth Proportional to 144,130.40, 216,196.32 and 65,152.16

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Solution

The fourth proportional to 144,130.40, 216,196.32 and 65,152.16 is: 97,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,130.40 : 216,196.32 = 65,152.16 : x
  2. Step 2: Convert to fraction form
    144,130.40/216,196.32 = 65,152.16/x
  3. Step 3: Cross multiply
    144,130.40x = 216,196.32 × 65,152.16
  4. Step 4: Simplify right side
    144,130.40x = 14,085,657,232.05
  5. Step 5: Solve for x
    x = 14,085,657,232.05/144,130.40
  6. Step 6: Final answer
    x = 97,728.57

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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.